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SIAM Journal on Numerical Analysis, Volume 51
Volume 51, Number 1, 2013
- Lourenço Beirão da Veiga
, Jarkko Niiranen
A Posteriori Error Analysis for the Postprocessed MITC Plate Elements. 1-23 - Jong Ho Lee:
Overlapping Domain Decomposition Methods for Numerically Thin Reissner-Mindlin Plates Approximated with the Falk-Tu Elements. 24-46 - Eric T. Chung, Hyea Hyun Kim
Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method. 47-67 - Qiang Ye:
Error Bounds for the Lanczos Methods for Approximating Matrix Exponentials. 68-87 - Yanren Hou
Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials. 88-111 - Hyoseop Lee, Jinwoo Lee, Dongwoo Sheen
Laplace Transform Method for Parabolic Problems with Time-Dependent Coefficients. 112-125 - Jochen Schütz, Sebastian Noelle, Christina Steiner, Georg May:
A Note on Adjoint Error Estimation for One-Dimensional Stationary Balance Laws with Shocks. 126-136 - Max Jensen, Iain Smears:
On the Convergence of Finite Element Methods for Hamilton-Jacobi-Bellman Equations. 137-162 - Sebastiano Boscarino
Flux-Explicit IMEX Runge-Kutta Schemes for Hyperbolic to Parabolic Relaxation Problems. 163-190 - Alexander Ostermann
Stability of Exponential Operator Splitting Methods for Noncontractive Semigroups. 191-203 - David Cohen
A Trigonometric Method for the Linear Stochastic Wave Equation. 204-222 - Gary Froyland
Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach. 223-247 - William J. Layton
Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater-Surface Water Flows. 248-272 - Li-Qun Cao, Lei Zhang, Walter Allegretto, Yanping Lin:
Multiscale Asymptotic Method for Steklov Eigenvalue Equations in Composite Media. 273-296 - Duk-Soon Oh
An Overlapping Schwarz Algorithm for Raviart-Thomas Vector Fields with Discontinuous Coefficients. 297-321 - Julia Charrier, Robert Scheichl
Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods. 322-352 - Huiyuan Li, Heping Ma, Weiwei Sun
Legendre Spectral Galerkin Method for Electromagnetic Scattering from Large Cavities. 353-376 - Todd Arbogast
A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems. 377-399 - Maksymilian Dryja, Juan Galvis
A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method. 400-422 - Brittany D. Froese
Convergent Filtered Schemes for the Monge-Ampère Partial Differential Equation. 423-444 - Bangti Jin, Raytcho D. Lazarov
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations. 445-466 - Stéphane Clain
Finite Volume Maximum Principle for Hyperbolic Scalar Problems. 467-490 - Kassem Mustapha
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations. 491-515 - Sören Bartels:
Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles. 516-525 - Gergina Pencheva, Martin Vohralík
Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling. 526-554 - Anna L. Mazzucato, Victor Nistor, Qingqin Qu:
A Nonconforming Generalized Finite Element Method for Transmission Problems. 555-576 - Andrea Bonito, Irene Kyza
Time-Discrete Higher-Order ALE Formulations: Stability. 577-604 - Christian Meyer, Oliver Thoma:
A Priori Finite Element Error Analysis for Optimal Control of the Obstacle Problem. 605-628 - David P. Hewett, Stephen Langdon
A High Frequency hp Boundary Element Method for Scattering by Convex Polygons. 629-653 - Paola F. Antonietti
Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. 654-675 - Bernardo Cockburn
A Posteriori Error Analysis for Hybridizable Discontinuous Galerkin Methods for Second Order Elliptic Problems. 676-693 - Dirk Blömker, Arnulf Jentzen
Galerkin Approximations for the Stochastic Burgers Equation. 694-715 - Bilal Saad
Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media. 716-741
Volume 51, Number 2, 2013
- Jie Liu
Simple and Efficient ALE Methods with Provable Temporal Accuracy up to Fifth Order for the Stokes Equations on Time Varying Domains. 743-772 - Vít Dolejsí, Alexandre Ern, Martin Vohralík
A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems. 773-793 - Lourenço Beirão da Veiga
Virtual Elements for Linear Elasticity Problems. 794-812 - Li Shan, Haibiao Zheng:
Partitioned Time Stepping Method for Fully Evolutionary Stokes-Darcy Flow with Beavers-Joseph Interface Conditions. 813-839 - Frédérique Charles, Bruno Després, Michel Mehrenberger
Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov-Poisson Equation. 840-863 - Youngsoo Ha, Yeon Ju Lee, Jungho Yoon:
Modified Essentially Nonoscillatory Schemes Based on Exponential Polynomial Interpolation for Hyperbolic Conservation Laws. 864-893 - Jeffrey M. Connors, Jeffrey W. Banks
A Method to Calculate Numerical Errors Using Adjoint Error Estimation for Linear Advection. 894-926 - Ming-Jun Lai
Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed 퓁q Minimization. 927-957 - Christoph Lehrenfeld
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems. 958-983 - Lars Diening
Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology. 984-1015 - Richard S. Falk, Shawn W. Walker:
A Mixed Finite Element Method for EWOD That Directly Computes the Position of the Moving Interface. 1016-1040 - Salim Meddahi
Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations. 1041-1063 - Giacomo Dimarco
Asymptotic Preserving Implicit-Explicit Runge-Kutta Methods for Nonlinear Kinetic Equations. 1064-1087 - Hong Wang, Danping Yang:
Wellposedness of Variable-Coefficient Conservative Fractional Elliptic Differential Equations. 1088-1107 - Benjamin Boutin
Coupling Techniques for Nonlinear Hyperbolic Equations. III. The Well-Balanced Approximation of Thick Interfaces. 1108-1133 - Thorsten Rohwedder, André Uschmajew:
On Local Convergence of Alternating Schemes for Optimization of Convex Problems in the Tensor Train Format. 1134-1162 - Etienne Emmrich, Aneta Wróblewska-Kaminska:
Convergence of a Full Discretization of Quasi-linear Parabolic Equations in Isotropic and Anisotropic Orlicz Spaces. 1163-1184 - Charles-Edouard Bréhier
Analysis of an HMM Time-Discretization Scheme for a System of Stochastic PDEs. 1185-1210 - Qiang Du
A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models. 1211-1234 - Jing Li, Xuemin Tu:
A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures. 1235-1253 - Alberto Ibort
Numerical Solutions of the Spectral Problem for Arbitrary Self-Adjoint Extensions of the One-Dimensional Schrödinger Equation. 1254-1279 - Roberto Barrio
A General Condition Number for Polynomials. 1280-1294 - Franz Chouly
A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis. 1295-1307 - Richard S. Falk, Michael Neilan
Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation. 1308-1326 - Michael Feischl
Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method. 1327-1348 - Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu:
Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. 1349-1369
Volume 51, Number 3, 2013
- Manuel J. Castro
Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems. 1371-1391 - Ramsharan Rangarajan, Adrian J. Lew:
Analysis of a Method to Parameterize Planar Curves Immersed In Triangulations. 1392-1420 - V. J. Ervin
Approximation of Axisymmetric Darcy Flow Using Mixed Finite Element Methods. 1421-1442 - Xiaodan Zhao
Sharp Error Bounds for Jacobi Expansions and Gegenbauer-Gauss Quadrature of Analytic Functions. 1443-1469 - Leszek Plaskota, Grzegorz W. Wasilkowski, Yaxi Zhao:
An Adaptive Algorithm for Weighted Approximation of Singular Functions over R. 1470-1493 - Natalia Kopteva
Maximum Norm A Posteriori Error Estimation for Parabolic Problems Using Elliptic Reconstructions. 1494-1524 - Mitsuhiro T. Nakao, Takuma Kimura
Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation. 1525-1541 - Víctor Domínguez
Filon-Clenshaw-Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points. 1542-1566 - Antti Hannukainen:
Field of Values Analysis of a Two-Level Preconditioner for the Helmholtz Equation. 1567-1584 - Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea
On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations. 1585-1609 - Dominik Schötzau, Christoph Schwab, Thomas P. Wihler:
hp-dGFEM for Second-Order Elliptic Problems in Polyhedra I: Stability on Geometric Meshes. 1610-1633 - Xuefeng Liu, Shin'ichi Oishi:
Verified Eigenvalue Evaluation for the Laplacian over Polygonal Domains of Arbitrary Shape. 1634-1654 - Alexandre Ern, Jean-Luc Guermond:
Weighting the Edge Stabilization. 1655-1677 - Huo-Yuan Duan, Ping Lin, Roger C. E. Tan:
Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local L2 Projected C0 Finite Element Method. 1678-1714 - Carsten Carstensen, Dietmar Gallistl
Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations. 1715-1734 - Xianjuan Li, Tao Tang
Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations. 1735-1756 - Victor Didenko
On the Stability of the Nyström Method for the Muskhelishvili Equation on Contours with Corners. 1757-1776 - Christoph Erath
A Posteriori Error Estimates and Adaptive Mesh Refinement for the Coupling of the Finite Volume Method and the Boundary Element Method. 1777-1804 - James J. Brannick, Yao Chen, Johannes Kraus, Ludmil T. Zikatanov
Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs. 1805-1827 - Lingxue Zhu, Haijun Wu:
Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: hp Version. 1828-1852 - Stefan Takacs
Convergence Analysis of All-at-Once Multigrid Methods for Elliptic Control Problems under Partial Elliptic Regularity. 1853-1874
Volume 51, Number 4, 2013
- Michael Herty, Lorenzo Pareschi
Implicit-Explicit Runge-Kutta Schemes for Numerical Discretization of Optimal Control Problems. 1875-1899 - Eskil Hansen
A Convergence Analysis of the Peaceman-Rachford Scheme for Semilinear Evolution Equations. 1900-1910 - Jie Liu
Order of Convergence of Splitting Schemes for Both Deterministic and Stochastic Nonlinear Schrödinger Equations. 1911-1932 - Tan Bui-Thanh
A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems. 1933-1958 - Buyang Li
Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media. 1959-1977 - Jianjun Liu, Li-Qun Cao, Ningning Yan:
Multiscale Asymptotic Analysis and Computation of Optimal Control for Elliptic Systems with Constraints. 1978-2004 - Dominik Schötzau, Christoph Schwab, Thomas P. Wihler:
hp-DGFEM for Second Order Elliptic Problems in Polyhedra II: Exponential Convergence. 2005-2035 - Rüdiger Frey, Thorsten Schmidt
On Galerkin Approximations for the Zakai Equation with Diffusive and Point Process Observations. 2036-2062 - Marcio Gameiro
Efficient Rigorous Numerics for Higher-Dimensional PDEs via One-Dimensional Estimates. 2063-2087 - Iain Smears, Endre Süli
Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients. 2088-2106 - Hao Ji
Convergence Analysis of Markov Chain Monte Carlo Linear Solvers Using Ulam-von Neumann Algorithm. 2107-2122 - Jérémi Dardé
An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems. 2123-2148 - Yiannis Hadjimichael
Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order. 2149-2165 - Huangxin Chen, Peipei Lu, Xuejun Xu:
A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number. 2166-2188 - Tanja Göckler, Volker Grimm
Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators. 2189-2213 - Kuo Liu, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Lei Tang:
Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations. 2214-2237 - Hui Liang
Integral-Algebraic Equations: Theory of Collocation Methods I. 2238-2259 - Z. W. Yang, Hermann Brunner
Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations. 2260-2282 - Kundan Kumar, Iuliu Sorin Pop
Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium. 2283-2308 - Omar Lakkis
Implicit-Explicit Timestepping with Finite Element Approximation of Reaction-Diffusion Systems on Evolving Domains. 2309-2330 - Zhiming Chen, Xueshuang Xiang:
A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain. 2331-2356 - Assyr Abdulle, Ping Lin, Alexander V. Shapeev:
A Priori and A Posteriori W1, INFINITY Error Analysis of a QC Method for Complex Lattices. 2357-2379 - Ana Alonso Rodríguez, Enrico Bertolazzi
Construction of a Finite Element Basis of the First de Rham Cohomology Group and Numerical Solution of 3D Magnetostatic Problems. 2380-2402 - Patricio Farrell
RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems. 2403-2425 - Claude Jeffrey Gittelson:
Convergence Rates of Multilevel and Sparse Tensor Approximations for a Random Elliptic PDE. 2426-2447 - Takahito Kashiwabara:
Finite Element Method for Stokes Equations under Leak Boundary Condition of Friction Type. 2448-2469 - Sean O. Settle, Craig C. Douglas, Imbunm Kim, Dongwoo Sheen
On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions. 2470-2490
Volume 51, Number 5, 2013
- Markus Bachmayr:
Integration of Products of Gaussians and Wavelets with Applications to Electronic Structure Calculations. 2491-2513 - Leszek F. Demkowicz, Norbert Heuer
Robust DPG Method for Convection-Dominated Diffusion Problems. 2514-2537 - Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Joseph D. Ward, Grady Barrett Wright:
Localized Bases for Kernel Spaces on the Unit Sphere. 2538-2562 - Wenbin Chen
Efficient and Long-Time Accurate Second-Order Methods for the Stokes-Darcy System. 2563-2584 - Yves Achdou, Fabio Camilli
Mean Field Games: Convergence of a Finite Difference Method. 2585-2612 - Francesc Aràndiga
On the Order of Nonuniform Monotone Cubic Hermite Interpolants. 2613-2633 - Ciro D'Apice
Numerical Schemes for the Optimal Input Flow of a Supply Chain. 2634-2650 - Jun Hu, Zhongci Shi:
A Lower Bound of the L2 Norm Error Estimate for the Adini Element of the Biharmonic Equation. 2651-2659 - Charles L. Epstein, Leslie Greengard
On the Convergence of Local Expansions of Layer Potentials. 2660-2679 - Xuping Zhang, Jintao Zhang, Bo Yu
Eigenfunction Expansion Method for Multiple Solutions of Semilinear Elliptic Equations with Polynomial Nonlinearity. 2680-2699 - Peng Chen, Alfio Quarteroni
Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations. 2700-2722 - Arnold Reusken:
A Finite Element Level Set Redistancing Method Based on Gradient Recovery. 2723-2745 - Jiang Zhu
Mixed Variational Formulation and Numerical Analysis of Thermally Coupled Nonlinear Darcy Flows. 2746-2772 - Lutz Kämmerer:
Reconstructing Hyperbolic Cross Trigonometric Polynomials by Sampling along Rank-1 Lattices. 2773-2796 - Dmitriy Leykekhman
Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. 2797-2821 - Qinghai Zhang
On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods. 2822-2850 - Arvind Baskaran, John S. Lowengrub, Cheng Wang, Steven M. Wise
Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation. 2851-2873 - Aziz Takhirov
Stokes-Brinkman Lagrange Multiplier/Fictitious Domain Method for Flows in Pebble Bed Geometries. 2874-2886 - David I. Ketcheson
Spatially Partitioned Embedded Runge-Kutta Methods. 2887-2910 - Andrea Cangiani
Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes. 2911-2934 - Carsten Carstensen, Dietmar Gallistl
Discrete Reliability for Crouzeix-Raviart FEMs. 2935-2955
Volume 51, Number 6, 2013
- Sarah Day, William D. Kalies
Rigorous Computation of the Global Dynamics of Integrodifference Equations with Smooth Nonlinearities. 2957-2983 - Alexey Kuznetsov
On the Convergence of the Gaver-Stehfest Algorithm. 2984-2998 - Elisabetta Carlini
A Generalized Fast Marching Method on Unstructured Triangular Meshes. 2999-3035 - G. Grün:
On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities. 3036-3061 - Sébastien Loisel:
Condition Number Estimates for the Nonoverlapping Optimized Schwarz Method and the 2-Lagrange Multiplier Method for General Domains and Cross Points. 3062-3083 - Raymond L. Speth
Balanced Splitting and Rebalanced Splitting. 3084-3105 - Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto:
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients. 3106-3134 - Michael V. Tretyakov
A Fundamental Mean-Square Convergence Theorem for SDEs with Locally Lipschitz Coefficients and Its Applications. 3135-3162 - Peng Chen, Alfio Quarteroni
A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data. 3163-3185 - Xue Luo, Stephen S.-T. Yau:
Hermite Spectral Method with Hyperbolic Cross Approximations to High-Dimensional Parabolic PDEs. 3186-3212 - Åke Brännström, Linus Carlsson, Daniel Simpson:
On the Convergence of the Escalator Boxcar Train. 3213-3231 - Rémi Carles
On Fourier Time-Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Limit. 3232-3258 - Christian Waluga, Barbara I. Wohlmuth:
Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method. 3259-3279 - Jisheng Kou, Shuyu Sun
Convergence of Discontinuous Galerkin Methods for Incompressible Two-Phase Flow in Heterogeneous Media. 3280-3306 - Bernhard Beckermann, Daniel Kressner
An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure. 3307-3326 - Hyea Hyun Kim
A Staggered Discontinuous Galerkin Method for the Stokes System. 3327-3350 - Daniel Elfverson
Convergence of a Discontinuous Galerkin Multiscale Method. 3351-3372 - Benjamin Martin, Alexandre Goldsztejn
Certified Parallelotope Continuation for One-Manifolds. 3373-3401 - Giacomo Gigante
Optimized Schwarz Methods for the Diffusion-Reaction Problem with Cylindrical Interfaces. 3402-3430 - Vu Thai Luan
Exponential B-Series: The Stiff Case. 3431-3445 - Deren Han, Xiaoming Yuan:
Local Linear Convergence of the Alternating Direction Method of Multipliers for Quadratic Programs. 3446-3457 - Xiaochuan Tian
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations. 3458-3482 - José C. M. Duque, Rui M. P. Almeida, Stanislav N. Antontsev:
Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent. 3483-3504 - Rodolfo Araya
Multiscale Hybrid-Mixed Method. 3505-3531 - Thi-Thao-Phuong Hoang, Jérôme Jaffré, Caroline Japhet
Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations. 3532-3559
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