Journal: SIAM J. Numerical Analysis

Volume 48, Issue 6

2019 -- 2042Erik Burman, Alexandre Ern, Miguel A. Fernández. Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems
2043 -- 2064Thorsten Hüls. Computing Sacker-Sell spectra in Discrete Time Dynamical Systems
2065 -- 2090Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland. Multiscale Analysis in Sobolev Spaces on the Sphere
2091 -- 2116Luca Gerardo-Giorda, Fabio Nobile, Christian Vergara. Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems
2117 -- 2134Do Y. Kwak, Kye T. Wee, Kwang S. Chang. An Analysis of a Broken P::1::-Nonconforming Finite Element Method for Interface Problems
2135 -- 2157Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley. Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere
2158 -- 2185Zhiming Chen, Weiying Zheng. Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
2186 -- 2217Xiaobing Feng, Yinnian He. Fully Discrete Finite Element Approximations of a Polymer Gel Model
2218 -- 2246Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché. Convergence of the MAC Scheme for the Compressible Stokes Equations
2247 -- 2266François Bouchon, Gunther H. Peichl. The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions

Volume 48, Issue 5

1625 -- 1646Alexander Mielke, Laetitia Paoli, Adrien Petrov, Ulisse Stefanelli. Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
1647 -- 1677José Trashorras, Dimitrios K. Tsagkarogiannis. From Mesoscale Back to Microscale: Reconstruction Schemes for Coarse-Grained Stochastic Lattice Systems
1678 -- 1706Christophe Chalons, Frédéric Coquel, Claude Marmignon. Time-Implicit Approximation of the Multipressure Gas Dynamics Equations in Several Space Dimensions
1707 -- 1732B. Aylaj, A. Noussair. Convergence of Numerical Schemes to a Nonlinear Kinetic Model of Population Dynamics with Nonlocal Boundary Conditions
1733 -- 1758François Bouchut, Tomás Morales de Luna. A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
1759 -- 1780Kun Zhou, Qiang Du. Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
1781 -- 1800Robert V. Kohn, Henrique M. Versieux. Numerical Analysis of a Steepest-Descent PDE Model for Surface Relaxation below the Roughening Temperature
1801 -- 1825Gabriel R. Barrenechea, Frédéric Valentin. Consistent Local Projection Stabilized Finite Element Methods
1826 -- 1845Volker Grimm, Martin Gugat. Approximation of Semigroups and Related Operator Functions by Resolvent Series
1846 -- 1876Kenneth H. Karlsen, Trygve K. Karper. A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
1877 -- 1899Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti. Geometrically Consistent Mesh Modification
1900 -- 1919M. Colombeau. A Method of Projection of Delta Waves in a Godunov Scheme and Application to Pressureless Fluid Dynamics
1920 -- 1943Huayi Wei, Long Chen, Yunqing Huang. Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces
1944 -- 1967Hermann Brunner, Qiumei Huang, Hehu Xie. Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type
1968 -- 1983Youngmok Jeon, Eun-Jae Park. A Hybrid Discontinuous Galerkin Method for Elliptic Problems
1984 -- 1999Len Bos, Stefano De Marchi, Alvise Sommariva, Marco Vianello. Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
2000 -- 2017M. Asadzadeh, A. H. Schatz, W. Wendland. Asymptotic Error Expansions for the Finite Element Method for Second Order Elliptic Problems in R:::N:::, N>=2. I: Local Interior Expansions

Volume 48, Issue 4

1231 -- 1253Xin-min Xiang, Zhong-Qing Wang. Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains
1254 -- 1280Carla Manni, Marie-Laurence Mazure. Shape Constraints and Optimal Bases for C:::1::: Hermite Interpolatory Subdivision Schemes
1281 -- 1312Ross Ingram, Mary F. Wheeler, Ivan Yotov. A Multipoint Flux Mixed Finite Element Method on Hexahedra
1313 -- 1337C. Bost, Georges-Henri Cottet, Emmanuel Maitre. Convergence Analysis of a Penalization Method for the Three-Dimensional Motion of a Rigid Body in an Incompressible Viscous Fluid
1338 -- 1368Gabriel N. Gatica, George C. Hsiao, Salim Meddahi. A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body
1369 -- 1394Weidong Zhao, Guannan Zhang, Lili Ju. A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations
1395 -- 1418Martin Healey, Norbert Heuer. Mortar Boundary Elements
1419 -- 1443L. Beirão da Veiga, Konstantin Lipnikov, G. Manzini. Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes
1444 -- 1473Hong Wang, Kaixin Wang. Uniform Estimates of an Eulerian-Lagrangian Method for Time-Dependent Convection-Diffusion Equations in Multiple Space Dimensions
1474 -- 1491Jian-Guo Liu, Luc Mieussens. Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
1492 -- 1517C. Yalçin Kaya. Inexact Restoration for Runge-Kutta Discretization of Optimal Control Problems
1518 -- 1529Alexei Bespalov, Norbert Heuer, Ralf Hiptmair. Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces
1530 -- 1554Wenbin Chen, Xingjie Li, Dong Liang. Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell s Equations in Three Dimensions
1555 -- 1578Eric A. Machorro. Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport
1579 -- 1600Xiaoyuan Yang, Yuanyuan Duan, Yuhua Guo. A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier-Stokes Equations
1601 -- 1624Pawel Dlotko, Ruben Specogna. Critical Analysis of the Spanning Tree Techniques

Volume 48, Issue 3

797 -- 823Todd Arbogast, Wen-Hao Wang. Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems
824 -- 839Ming Cui, Xiu Ye. Unified Analysis of Finite Volume Methods for the Stokes Equations
840 -- 856Andreas App, Ulrich Reif. Piecewise Linear Orthogonal Approximation
857 -- 881Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, Jaume Peraire. Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
882 -- 904Mike Giles, Stefan Ulbrich. Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 1: Linearized Approximations and Linearized Output Functionals
905 -- 921Mike Giles, Stefan Ulbrich. Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approximations and Extensions
922 -- 952Andreas Rößler. Runge-Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations
953 -- 979Javier de Frutos, Bosco García-Archilla, Julia Novo. Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
980 -- 1012Siobhan Burke, Christoph Ortner, Endre Süli. An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
1013 -- 1037Santiago Badia, Ramon Codina, Juan Vicente Gutiérrez-Santacreu. Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling
1038 -- 1063Qiang Zhang, Chi-Wang Shu. Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
1064 -- 1086Ismaël F. Bailleul, Peter L. W. Man, Markus Kraft. A Stochastic Algorithm for Parametric Sensitivity in Smoluchowski s Coagulation Equation
1087 -- 1109Jie Shen, Li-lian Wang. Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross
1110 -- 1135Imran H. Biswas, Espen R. Jakobsen, Kenneth H. Karlsen. Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE
1136 -- 1162Yves Achdou, Italo Capuzzo Dolcetta. Mean Field Games: Numerical Methods
1163 -- 1185Wenbin Liu, Danping Yang, Lei Yuan, Chaoqun Ma. Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
1186 -- 1207DongHo Kim, Eun-Jae Park. A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations
1208 -- 1229Bangti Jin, Dirk A. Lorenz. Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates

Volume 48, Issue 2

393 -- 407M. Bellalij, Y. Saad, H. Sadok. Further Analysis of the Arnoldi Process for Eigenvalue Problems
408 -- 427Mihály Kovács, Stig Larsson, Fardin Saedpanah. Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
428 -- 451Sonja Cox, Jan van Neerven. Convergence Rates of the Splitting Scheme for Parabolic Linear Stochastic Cauchy Problems
452 -- 469Javier Segura. Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
470 -- 497Alan Demlow. Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
498 -- 523Ivo Babuska, Gabriel N. Gatica. A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
524 -- 551S. Loisel, J. Côté, M. J. Gander, L. Laayouni, A. Qaddouri. Optimized Domain Decomposition Methods for the Spherical Laplacian
552 -- 577Jonathan C. Mattingly, Andrew M. Stuart, M. V. Tretyakov. Convergence of Numerical Time-Averaging and Stationary Measures via Poisson Equations
578 -- 602Zhiqiang Cai, Shun Zhang. Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
603 -- 632Carlo Lovadina, David Mora, Rodolfo Rodríguez. Approximation of the Buckling Problem for Reissner-Mindlin Plates
633 -- 658Giovanni Samaey, Wim Vanroose. An Analysis of Equivalent Operator Preconditioning for Equation-Free Newton-Krylov Methods
659 -- 680Petr Knobloch. A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations
681 -- 707Kaixin Wang, Hong Wang. An Optimal-Order Error Estimate to ELLAM Schemes for Transient Advection-Diffusion Equations on Unstructured Meshes
708 -- 733Fei Wang, Weimin Han, Xiao-Liang Cheng. Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
734 -- 771Andrea Bonito, Ricardo H. Nochetto. Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
772 -- 795Xiangxiong Zhang, Chi-Wang Shu. A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws

Volume 48, Issue 1

1 -- 29Stefania Bellavia, Coralia Cartis, Nicholas I. M. Gould, Benedetta Morini, Philippe L. Toint. Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares
30 -- 52Zhiqiang Cai, Shun Zhang. Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
53 -- 78Jean-Luc Guermond, Guido Kanschat. Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
79 -- 94Zhiqiang Cai, Chunbo Wang, Shun Zhang. Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations
95 -- 108S. Sauter. hp-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to Lambda, h, and p
109 -- 132Georgios Akrivis, Panagiotis Chatzipantelidis. A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations
133 -- 146Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian. Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity
147 -- 163Benqi Guo, Ivo Babuska. Local Jacobi Operators and Applications to the p-Version of Finite Element Method in Two Dimensions
164 -- 190Erich Carelli, Jonas Haehnle, Andreas Prohl. Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions
191 -- 197Gang Wu, Yimin Wei. On Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
198 -- 223Alexandre Ern, Martin Vohralík. A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
224 -- 243Jérémie Bigot, Sébastien Gadat. Smoothing under Diffeomorphic Constraints with Homeomorphic Splines
244 -- 256Drahoslava Janovská, Gerhard Opfer. A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
257 -- 277Emmanuel Gobet, Céline Labart. Solving BSDE with Adaptive Control Variate
278 -- 297Nawaf Bou-Rabee, Houman Owhadi. Long-Run Accuracy of Variational Integrators in the Stochastic Context
298 -- 321Evelyn Buckwar, Cónall Kelly. Towards a Systematic Linear Stability Analysis of Numerical Methods for Systems of Stochastic Differential Equations
322 -- 345S. L. Cotter, M. Dashti, A. M. Stuart. Approximation of Bayesian Inverse Problems for PDEs
346 -- 371Mark Ainsworth, Hafiz Abdul Wajid. Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration
372 -- 391Annegret Glitzky, Jens A. Griepentrog. Discrete Sobolev-Poincaré Inequalities for Voronoi Finite Volume Approximations