Journal: SIAM J. Numerical Analysis

Volume 55, Issue 6

2523 -- 2539Erik Burman, Peter Hansbo, Mats G. Larson. The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
2540 -- 2564Charles Dossal, Vincent Duval, Clarice Poon. Sampling the Fourier Transform Along Radial Lines
2565 -- 2591Juan Vicente Gutiérrez-Santacreu, Marco Restelli. Inf-Sup Stable Finite Element Methods for the Landau-Lifshitz-Gilbert and Harmonic Map Heat Flow Equations
2592 -- 2615Lukas Drescher, Holger Heumann, Kersten Schmidt. A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces
2616 -- 2643Gang Bao, Chuchu Chen, Peijun Li. Inverse Random Source Scattering for Elastic Waves
2644 -- 2665Carsten Carstensen, Hella Rabus. Axioms of Adaptivity with Separate Marking for Data Resolution
2666 -- 2686Qingsong Zou, Li Guo, Quanling Deng. High Order Continuous Local-Conserving Fluxes and Finite-Volume-Like Finite Element Solutions for Elliptic Equations
2687 -- 2717Michele Botti, Daniele A. Di Pietro, Pierre Sochala. A Hybrid High-Order Method for Nonlinear Elasticity
2718 -- 2744Tom Gustafsson, Rolf Stenberg, Juha Videman. Mixed and Stabilized Finite Element Methods for the Obstacle Problem
2745 -- 2786Kristian Debrabant, Giovanni Samaey, Przemyslaw Zielinski. A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations
2787 -- 2810Irwin Yousept, Jun Zou. Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law
2811 -- 2834Alexandre Ern, Iain Smears, Martin Vohralík. Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems
2835 -- 2862Percy Deift, Thomas Trogdon. Universality for Eigenvalue Algorithms on Sample Covariance Matrices
2863 -- 2884Florian A. Potra. A Superquadratic Variant of Newton's Method
2885 -- 2904Fatemeh Ghasemi, Jan Nordström. Coupling Requirements for Multiphysics Problems Posed on Two Domains
2905 -- 2929Long Chen, Yongke Wu. Convergence of Adaptive Mixed Finite Element Methods for the Hodge Laplacian Equation: Without Harmonic Forms
2930 -- 2955Zhaosong Lu, Lin Xiao. A Randomized Nonmonotone Block Proximal Gradient Method for a Class of Structured Nonlinear Programming
2956 -- 2981Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov. Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients
2982 -- 3005Bo Gong, Wenbin Liu, Tao Tang, Weidong Zhao, Tao Zhou. An Efficient Gradient Projection Method for Stochastic Optimal Control Problems
3006 -- 3029Jialin Hong, Liying Sun, Xu Wang. High Order Conformal Symplectic and Ergodic Schemes for the Stochastic Langevin Equation via Generating Functions
3030 -- 3046Mario Chater, Angxiu Ni, Patrick Blonigan, Qiqi Wang. Least Squares Shadowing Method for Sensitivity Analysis of Differential Equations
3047 -- 3067Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol, Francesco Ballarin, Gianluigi Rozza. On a Certified Smagorinsky Reduced Basis Turbulence Model
3068 -- 3096Ajay Jasra, Kengo Kamatani, Kody J. H. Law, Yan Zhou. Multilevel Particle Filters
3097 -- 3119Nicola Guglielmi, Christian Lubich. Matrix Stabilization Using Differential Equations
3120 -- 3146Jean-Luc Guermond, Bojan Popov. Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations
3147 -- 3172Drew P. Kouri. A Measure Approximation for Distributionally Robust PDE-Constrained Optimization Problems
3173 -- 3202Yajing Li, Yejuan Wang, Weihua Deng. Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
3203 -- 3224Pascal Azérad, Jean-Luc Guermond, Bojan Popov. Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements

Volume 55, Issue 5

2113 -- 2122Anthony P. Austin, Lloyd N. Trefethen. Trigonometric Interpolation and Quadrature in Perturbed Points
2123 -- 2150Selim Esedoglu, Matt Jacobs. Convolution Kernels and Stability of Threshold Dynamics Methods
2151 -- 2186Markus Bachmayr, Albert Cohen 0002, Dinh Dung, Christoph Schwab. Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs
2187 -- 2203Federico Benvenuto. A Study on Regularization for Discrete Inverse Problems with Model-Dependent Noise
2204 -- 2227Antoine Levitt, Christoph Ortner. Convergence and Cycling in Walker-type Saddle Search Algorithms
2228 -- 2254Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík. Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations
2255 -- 2285Andy T. S. Wan, Alexander Bihlo, Jean-Christophe Nave. Conservative Methods for Dynamical Systems
2286 -- 2311Daniel Loghin. Constraint Interface Preconditioning for the Incompressible Stokes Equations
2312 -- 2335G. Manzini, D. Funaro, Gian Luca Delzanno. Convergence of Spectral Discretizations of the Vlasov-Poisson System
2336 -- 2360Rodolfo Ruben Rosales, Benjamin Seibold, David Shirokoff, Dong Zhou. Unconditional Stability for Multistep ImEx Schemes: Theory
2361 -- 2393Tao Yin, George C. Hsiao, Liwei Xu. Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem
2394 -- 2415Xingjie Helen Li, Jianfeng Lu. Quasi-nonlocal Coupling of Nonlocal Diffusions
2416 -- 2443Francis Filbet, Luis Miguel Rodrigues. Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas
2444 -- 2464Irwin Yousept. Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity
2465 -- 2489Qiang Du, Zhan Huang, Philippe G. LeFloch. Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models
2490 -- 2521Fabian L. Müller, Dominik Schötzau, Christoph Schwab. Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons

Volume 55, Issue 4

1549 -- 1577Ke Guo, Deren Han, Xiaoming Yuan. Convergence Analysis of Douglas-Rachford Splitting Method for "Strongly + Weakly" Convex Programming
1578 -- 1613Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza. Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation
1614 -- 1649Carlos M. Mora, H. A. Mardones, Juan C. Jiménez, M. Selva, Rolando J. Biscay. A Stable Numerical Scheme for Stochastic Differential Equations with Multiplicative Noise
1650 -- 1688Bernardo Cockburn, Guosheng Fu. A Systematic Construction of Finite Element Commuting Exact Sequences
1689 -- 1718Mark Ainsworth, Zhiping Mao. Analysis and Approximation of a Fractional Cahn-Hilliard Equation
1719 -- 1739Wolfgang Bangerth, Imbunm Kim, Dongwoo Sheen, Jaeryun Yim. On Hanging Node Constraints for Nonconforming Finite Elements using the Douglas-Santos-Sheen-Ye Element as an Example
1740 -- 1759Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Sriram Nagaraj, Paulina Sepúlveda. A Spacetime DPG Method for the Schrödinger Equation
1760 -- 1785Konstantin Brenner, Clément Cancès. Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation
1786 -- 1819Michael Feischl, Thanh Tran. The Eddy Current-LLG Equations: FEM-BEM Coupling and A Priori Error Estimates
1820 -- 1842Laurent Bourgeois, Jérémi Dardé. The "Exterior Approach" Applied to the Inverse Obstacle Problem for the Heat Equation
1843 -- 1866Bastian Bohn, Michael Griebel. Error Estimates for Multivariate Regression on Discretized Function Spaces
1867 -- 1891Christoph Reisinger, Endre Süli, Alan Whitley. A Partial Fourier Transform Method for a Class of Hypoelliptic Kolmogorov Equations
1892 -- 1914Pedro Ramaciotti, Jean-Claude Nédélec. About Some Boundary Integral Operators on the Unit Disk Related to the Laplace Equation
1915 -- 1936Son-Young Yi. A Study of Two Modes of Locking in Poroelasticity
1937 -- 1957Thomas Apel, Serge Nicaise, Johannes Pfefferer. 2 Boundary Data in NonConvex Domains
1958 -- 1981Yanzhao Cao, Jialin Hong, Zhihui Liu. Approximating Stochastic Evolution Equations with Additive White and Rough Noises
1982 -- 2003Sander Rhebergen, Garth N. Wells. Analysis of a Hybridized/Interface Stabilized Finite Element Method for the Stokes Equations
2004 -- 2024Clemens Hofreither, Stefan Takacs. Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces
2025 -- 2049Dmitriy Leykekhman, Boris Vexler. Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems
2050 -- 2084Zhiming Chen, Weiying Zheng. PML Method for Electromagnetic Scattering Problem in a Two-Layer Medium
2085 -- 2109Sebastiano Boscarino, Lorenzo Pareschi, Giovanni Russo 0001. A Unified IMEX Runge-Kutta Approach for Hyperbolic Systems with Multiscale Relaxation
2110 -- 2111Do Y. Kwak, Kye T. Wee, Kwang S. Chang. Erratum: An Analysis of a Broken P_1-Nonconforming Finite Element Method for Interface Problems

Volume 55, Issue 3

1135 -- 1158Hongxing Rui, Xiaoli Li 0008. Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
1159 -- 1187Ana Alonso Rodríguez, Enrico Bertolazzi, Riccardo Ghiloni, Ruben Specogna. Efficient Construction of 2-Chains with a Prescribed Boundary
1188 -- 1200Mario Ullrich. A Monte Carlo Method for Integration of Multivariate Smooth Functions
1201 -- 1217Joel A. Rosenfeld, Warren E. Dixon. Approximating the Caputo Fractional Derivative through the Mittag-Leffler Reproducing Kernel Hilbert Space and the Kernelized Adams-Bashforth-Moulton Method
1218 -- 1242Norbert Heuer, Michael Karkulik. A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems
1243 -- 1263Chao Zheng. Weak Convergence Rate of a Time-Discrete Scheme for the Heston Stochastic Volatility Model
1264 -- 1290Claudia Schillings, Andrew M. Stuart. Analysis of the Ensemble Kalman Filter for Inverse Problems
1291 -- 1314Philip L. Lederer, Alexander Linke, Christian Merdon, Joachim Schöberl. Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements
1315 -- 1329Robert Plato. Converse Results, Saturation and Quasi-optimality for Lavrentiev Regularization of Accretive Problems
1330 -- 1356Gabriele Ciaramella, Martin J. Gander. Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I
1357 -- 1386Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang. A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation
1387 -- 1411C. Besse, Geneviève Dujardin, I. Lacroix-Violet. High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose-Einstein Condensates
1412 -- 1436Arnd Rösch, Gerd Wachsmuth. Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations
1437 -- 1455Paolo Novati. Some Properties of the Arnoldi-Based Methods for Linear Ill-Posed Problems
1456 -- 1482Nicola Guglielmi, Ivan Markovsky. An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility
1483 -- 1504Volker Grimm, Tanja Göckler. 0-Semigroups
1505 -- 1524Sören Bartels. Numerical Solution of a Föppl-von Kármán Model
1525 -- 1547John C. Urschel. On The Characterization and Uniqueness of Centroidal Voronoi Tessellations

Volume 55, Issue 2

445 -- 471J. Frédéric Bonnans, Adriano Festa. Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints
472 -- 495Gabriel Acosta, Juan Pablo Borthagaray. A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
496 -- 520Daniel Baffet, Jan S. Hesthaven. A Kernel Compression Scheme for Fractional Differential Equations
521 -- 542Buyang Li, Weiwei Sun. Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations
543 -- 569Eric T. Chung, Weifeng Qiu. Analysis of an SDG Method for the Incompressible Navier-Stokes Equations
570 -- 597Zhilin Li, Haifeng Ji, Xiaohong Chen. Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients
598 -- 620Thorsten Hohage, Frederic Weidling. Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods
621 -- 639L. Banjai, María López-Fernández, Achim Schädle. Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations
640 -- 663Weimin Han, Mircea Sofonea, Mikaël Barboteu. Numerical Analysis of Elliptic Hemivariational Inequalities
664 -- 690Giacomo Dimarco, Lorenzo Pareschi. Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations
691 -- 712Xiaobing Feng 0001, Max Jensen. Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids
713 -- 736Armin Lechleiter, Ruming Zhang. A Convergent Numerical Scheme for Scattering of Aperiodic Waves from Periodic Surfaces Based on the Floquet-Bloch Transform
737 -- 757Dietmar Gallistl. Variational Formulation and Numerical Analysis of Linear Elliptic Equations in Nondivergence form with Cordes Coefficients
758 -- 784Guoxian Chen, Sebastian Noelle. A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions
785 -- 811Marco Del Pra, Alessio Fumagalli, Anna Scotti. Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM
812 -- 840André Schlichting, Christian Seis. Convergence Rates for Upwind Schemes with Rough Coefficients
841 -- 868D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis. Error Estimates for Galerkin Approximations of the Serre Equations
869 -- 891Mohan K. Kadalbajoo, Lok Pati Tripathi, Alpesh Kumar. An Error Analysis of a Finite Element Method with IMEX-Time Semidiscretizations for Some Partial Integro-differential Inequalities Arising in the Pricing of American Options
892 -- 922Oscar P. Bruno, Max Cubillos. On the Quasi-unconditional Stability of BDF-ADI Solvers for the Compressible Navier-Stokes Equations and Related Linear Problems
923 -- 952Patrick Henning, Axel Målqvist. The Finite Element Method for the Time-Dependent Gross-Pitaevskii Equation with Angular Momentum Rotation
953 -- 979Son L. Nguyen, Tuan-Anh Hoang, Dung T. Nguyen, George Yin. Milstein-Type Procedures for Numerical Solutions of Stochastic Differential Equations with Markovian Switching
980 -- 1001Makoto Mizuguchi, Akitoshi Takayasu, Takayuki Kubo, Shin'ichi Oishi. A Method of Verified Computations for Solutions to Semilinear Parabolic Equations Using Semigroup Theory
1002 -- 1023Helmut Harbrecht, Michael Peters, Marc Schmidlin. Uncertainty Quantification for PDEs with Anisotropic Random Diffusion
1024 -- 1056Qinghai Zhang. HFES: A Height Function Method with Explicit Input and Signed Output for High-Order Estimations of Curvature and unit Vectors of Planar Curves
1057 -- 1079Martin Stynes, Eugene O'Riordan, José Luis Gracia. Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
1080 -- 1100John W. Barrett, Klaus Deckelnick, Vanessa Styles. Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve
1101 -- 1133Peter Benner, Hamdullah Yücel. Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

Volume 55, Issue 1

1 -- 30Antoine Laurain. Stability Analysis of the Reconstruction Step of the Voronoi Implicit Interface Method
31 -- 62Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra Capizzano, Hendrik Speleers. Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis
63 -- 86Lehel Banjai, Emmanuil H. Georgoulis, Oluwaseun Lijoka. A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation
87 -- 108Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung, Yi Zhang. 0 Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates
109 -- 130Klaus Deckelnick, Michael Hinze, Tobias Jordan. An Optimal Shape Design Problem for Plates
131 -- 143Nathan Fieldsteel, Hal Schenck. Polynomial Interpolation in Higher Dimension: From Simplicial Complexes to GC Sets
144 -- 167David P. Nicholls. Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method
168 -- 193Xiaojun Chen 0001, Lei Guo, Zhaosong Lu, Jane J. Ye. An Augmented Lagrangian Method for Non-Lipschitz Nonconvex Programming
194 -- 216Xiaobing Feng 0001, Yukun Li, Yi Zhang. Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noise
217 -- 239Roger Temam, Xiaoyan Wang. Numerical Approximation of a Variational Inequality Related to the Humid Atmosphere
240 -- 264Silvia Jerez, Carlos Parés. Entropy Stable Schemes for Degenerate Convection-Diffusion Equations
265 -- 285Xiao Li, Zhonghua Qiao, Hui Zhang. Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
286 -- 304Max Gunzburger, Nan Jiang, Michael Schneier. An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations
305 -- 327Jialin Hong, Xu Wang, Liying Zhang. Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme
328 -- 348Jingjun Zhao, Yan Fan, Yang Xu. Stability of Symmetric Runge-Kutta Methods for Neutral Delay Integro-Differential Equations
349 -- 375C. Carstensen, K. Köhler. Efficient Discrete Lagrange Multipliers in three first-order finite element discretizations for the A Posteriori Error Control in an Obstacle Problem
376 -- 399Jörg Grande. Analysis of Highly Accurate Finite Element Based Algorithms for Computing Distances to Level Sets
400 -- 418Zhiqiang Cai, Cuiyu He, Shun Zhang. Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
419 -- 443Oliver Junge, Daniel Matthes, Horst Osberger. A Fully Discrete Variational Scheme for Solving Nonlinear Fokker-Planck Equations in Multiple Space Dimensions