SIAM Journal on Numerical Analysis, Volume 55 (original) (raw)



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Volume 55, Number 1, 2017

Antoine Laurain
:
Stability Analysis of the Reconstruction Step of the Voronoi Implicit Interface Method. 1-30

Marco Donatelli, Carlo Garoni
, Carla Manni
, Stefano Serra-Capizzano
, Hendrik Speleers
:
Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis. 31-62

Lehel Banjai, Emmanuil H. Georgoulis, Oluwaseun Lijoka:
A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation. 63-86

Susanne C. Brenner, Joscha Gedicke
, Li-Yeng Sung, Yi Zhang:
An A Posteriori Analysis of C0 Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates. 87-108

Klaus Deckelnick, Michael Hinze
, Tobias Jordan:
An Optimal Shape Design Problem for Plates. 109-130

Nathan Fieldsteel, Hal Schenck
:
Polynomial Interpolation in Higher Dimension: From Simplicial Complexes to GC Sets. 131-143

David P. Nicholls:
Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method. 144-167

Xiaojun Chen, Lei Guo, Zhaosong Lu
, Jane J. Ye
:
An Augmented Lagrangian Method for Non-Lipschitz Nonconvex Programming. 168-193

Xiaobing Feng, Yukun Li, Yi Zhang:
Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noise. 194-216

Roger Temam, Xiaoyan Wang:
Numerical Approximation of a Variational Inequality Related to the Humid Atmosphere. 217-239

Silvia Jerez
, Carlos Parés
:
Entropy Stable Schemes for Degenerate Convection-Diffusion Equations. 240-264

Xiao Li, Zhonghua Qiao
, Hui Zhang:
Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection. 265-285

Max D. Gunzburger, Nan Jiang, Michael Schneier:
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations. 286-304

Jialin Hong, Xu Wang, Liying Zhang:
Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme. 305-327

Jingjun Zhao, Yan Fan
, Yang Xu:
Stability of Symmetric Runge-Kutta Methods for Neutral Delay Integro-Differential Equations. 328-348

Carsten Carstensen, Karoline Köhler:
Efficient Discrete Lagrange Multipliers in three first-order finite element discretizations for the A Posteriori Error Control in an Obstacle Problem. 349-375

Jörg Grande:
Analysis of Highly Accurate Finite Element Based Algorithms for Computing Distances to Level Sets. 376-399

Zhiqiang Cai
, Cuiyu He
, Shun Zhang:
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates. 400-418

Oliver Junge, Daniel Matthes, Horst Osberger:
A Fully Discrete Variational Scheme for Solving Nonlinear Fokker-Planck Equations in Multiple Space Dimensions. 419-443
Volume 55, Number 2, 2017

J. Frédéric Bonnans, Adriano Festa
:
Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints. 445-471

Gabriel Acosta
, Juan Pablo Borthagaray
:
A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations. 472-495

Daniel Baffet, Jan S. Hesthaven:
A Kernel Compression Scheme for Fractional Differential Equations. 496-520

Buyang Li
, Weiwei Sun
:
Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations. 521-542

Eric T. Chung, Weifeng Qiu
:
Analysis of an SDG Method for the Incompressible Navier-Stokes Equations. 543-569

Zhilin Li
, Haifeng Ji, Xiaohong Chen:
Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients. 570-597

Thorsten Hohage, Frederic Weidling:
Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods. 598-620

Lehel Banjai, María López-Fernández
, Achim Schädle
:
Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations. 621-639

Weimin Han, Mircea Sofonea, Mikaël Barboteu
:
Numerical Analysis of Elliptic Hemivariational Inequalities. 640-663

Giacomo Dimarco
, Lorenzo Pareschi
:
Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations. 664-690

Xiaobing Feng, Max Jensen:
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids. 691-712

Armin Lechleiter, Ruming Zhang:
A Convergent Numerical Scheme for Scattering of Aperiodic Waves from Periodic Surfaces Based on the Floquet-Bloch Transform. 713-736

Dietmar Gallistl
:
Variational Formulation and Numerical Analysis of Linear Elliptic Equations in Nondivergence form with Cordes Coefficients. 737-757

Guoxian Chen, Sebastian Noelle:
A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions. 758-784

Marco Del Pra, Alessio Fumagalli, Anna Scotti:
Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM. 785-811

André Schlichting
, Christian Seis:
Convergence Rates for Upwind Schemes with Rough Coefficients. 812-840

D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
:
Error Estimates for Galerkin Approximations of the Serre Equations. 841-868

Mohan 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. 869-891

Oscar P. Bruno
, Max Cubillos:
On the Quasi-unconditional Stability of BDF-ADI Solvers for the Compressible Navier-Stokes Equations and Related Linear Problems. 892-922

Patrick Henning, Axel Målqvist
:
The Finite Element Method for the Time-Dependent Gross-Pitaevskii Equation with Angular Momentum Rotation. 923-952

Son Luu Nguyen, Tuan Anh Hoang, Dung T. Nguyen, George Yin:
Milstein-Type Procedures for Numerical Solutions of Stochastic Differential Equations with Markovian Switching. 953-979

Makoto Mizuguchi, Akitoshi Takayasu
, Takayuki Kubo, Shin'ichi Oishi:
A Method of Verified Computations for Solutions to Semilinear Parabolic Equations Using Semigroup Theory. 980-1001

Helmut Harbrecht, Michael Peters, Marc Schmidlin
:
Uncertainty Quantification for PDEs with Anisotropic Random Diffusion. 1002-1023

Qinghai Zhang:
HFES: A Height Function Method with Explicit Input and Signed Output for High-Order Estimations of Curvature and unit Vectors of Planar Curves. 1024-1056

Martin Stynes, Eugene O'Riordan
, José Luis Gracia
:
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation. 1057-1079

John W. Barrett
, Klaus Deckelnick, Vanessa Styles:
Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. 1080-1100

Peter Benner
, Hamdullah Yücel
:
Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems. 1101-1133
Volume 55, Number 3, 2017

Hongxing Rui, Xiaoli Li:
Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids. 1135-1158

Ana Alonso Rodríguez, Enrico Bertolazzi
, Riccardo Ghiloni
, Ruben Specogna:
Efficient Construction of 2-Chains with a Prescribed Boundary. 1159-1187

Mario Ullrich
:
A Monte Carlo Method for Integration of Multivariate Smooth Functions. 1188-1200

Joel 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. 1201-1217

Norbert Heuer
, Michael Karkulik
:
A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems. 1218-1242

Chao Zheng:
Weak Convergence Rate of a Time-Discrete Scheme for the Heston Stochastic Volatility Model. 1243-1263

Claudia Schillings
, Andrew M. Stuart
:
Analysis of the Ensemble Kalman Filter for Inverse Problems. 1264-1290

Philip L. Lederer
, Alexander Linke, Christian Merdon
, Joachim Schöberl
:
Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements. 1291-1314

Robert Plato:
Converse Results, Saturation and Quasi-optimality for Lavrentiev Regularization of Accretive Problems. 1315-1329

Gabriele Ciaramella
, Martin J. Gander
:
Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I. 1330-1356

Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang:
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation. 1357-1386

C. Besse, Geneviève Dujardin, I. Lacroix-Violet:
High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose-Einstein Condensates. 1387-1411

Arnd Rösch, Gerd Wachsmuth
:
Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations. 1412-1436

Paolo Novati:
Some Properties of the Arnoldi-Based Methods for Linear Ill-Posed Problems. 1437-1455

Nicola Guglielmi, Ivan Markovsky
:
An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility. 1456-1482

Volker Grimm
, Tanja Göckler:
Automatic Smoothness Detection of the Resolvent Krylov Subspace Method for the Approximation of C0-Semigroups. 1483-1504

Sören Bartels
:
Numerical Solution of a Föppl-von Kármán Model. 1505-1524

John C. Urschel:
On The Characterization and Uniqueness of Centroidal Voronoi Tessellations. 1525-1547
Volume 55, Number 4, 2017

Ke Guo, Deren Han, Xiaoming Yuan:
Convergence Analysis of Douglas-Rachford Splitting Method for "Strongly + Weakly" Convex Programming. 1549-1577

Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza:
Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation. 1578-1613

Carlos M. Mora
, Hermán A. Mardones, Juan C. Jiménez, Mónica Selva Soto, Rolando J. Biscay:
A Stable Numerical Scheme for Stochastic Differential Equations with Multiplicative Noise. 1614-1649

Bernardo Cockburn
, Guosheng Fu
:
A Systematic Construction of Finite Element Commuting Exact Sequences. 1650-1688

Mark Ainsworth, Zhiping Mao:
Analysis and Approximation of a Fractional Cahn-Hilliard Equation. 1689-1718

Wolfgang 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. 1719-1739

Leszek F. Demkowicz, Jayadeep Gopalakrishnan
, Sriram Nagaraj, Paulina Sepúlveda
:
A Spacetime DPG Method for the Schrödinger Equation. 1740-1759

Konstantin Brenner
, Clément Cancès:
Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation. 1760-1785

Michael Feischl
, Thanh Tran:
The Eddy Current-LLG Equations: FEM-BEM Coupling and A Priori Error Estimates. 1786-1819

Laurent Bourgeois, Jérémi Dardé
:
The "Exterior Approach" Applied to the Inverse Obstacle Problem for the Heat Equation. 1820-1842

Bastian Bohn
, Michael Griebel:
Error Estimates for Multivariate Regression on Discretized Function Spaces. 1843-1866

Christoph Reisinger
, Endre Süli, Alan Whitley:
A Partial Fourier Transform Method for a Class of Hypoelliptic Kolmogorov Equations. 1867-1891

Pedro Ramaciotti, Jean-Claude Nédélec:
About Some Boundary Integral Operators on the Unit Disk Related to the Laplace Equation. 1892-1914

Son-Young Yi:
A Study of Two Modes of Locking in Poroelasticity. 1915-1936

Thomas Apel, Serge Nicaise, Johannes Pfefferer:
Adapted Numerical Methods for the Poisson Equation with L2 Boundary Data in NonConvex Domains. 1937-1957

Yanzhao Cao, Jialin Hong, Zhihui Liu
:
Approximating Stochastic Evolution Equations with Additive White and Rough Noises. 1958-1981

Sander Rhebergen
, Garth N. Wells
:
Analysis of a Hybridized/Interface Stabilized Finite Element Method for the Stokes Equations. 1982-2003

Clemens Hofreither
, Stefan Takacs
:
Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces. 2004-2024

Dmitriy Leykekhman
, Boris Vexler:
Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. 2025-2049

Zhiming Chen, Weiying Zheng:
PML Method for Electromagnetic Scattering Problem in a Two-Layer Medium. 2050-2084

Sebastiano Boscarino
, Lorenzo Pareschi
, Giovanni Russo:
A Unified IMEX Runge-Kutta Approach for Hyperbolic Systems with Multiscale Relaxation. 2085-2109

Do Y. Kwak, Kye T. Wee, Kwang S. Chang:
Erratum: An Analysis of a Broken P_1-Nonconforming Finite Element Method for Interface Problems. 2110-2111
Volume 55, Number 5, 2017

Anthony P. Austin, Lloyd N. Trefethen:
Trigonometric Interpolation and Quadrature in Perturbed Points. 2113-2122

Selim Esedoglu, Matt Jacobs
:
Convolution Kernels and Stability of Threshold Dynamics Methods. 2123-2150

Markus Bachmayr, Albert Cohen, Dinh Dung
, Christoph Schwab:
Fully Discrete Approximation of Parametric and Stochastic Elliptic PDEs. 2151-2186

Federico Benvenuto
:
A Study on Regularization for Discrete Inverse Problems with Model-Dependent Noise. 2187-2203

Antoine Levitt, Christoph Ortner
:
Convergence and Cycling in Walker-type Saddle Search Algorithms. 2204-2227

Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm
, Martin Vohralík
:
Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations. 2228-2254

Andy T. S. Wan, Alexander Bihlo, Jean-Christophe Nave:
Conservative Methods for Dynamical Systems. 2255-2285

Daniel Loghin:
Constraint Interface Preconditioning for the Incompressible Stokes Equations. 2286-2311

Gianmarco Manzini, Daniele Funaro, Gian Luca Delzanno:
Convergence of Spectral Discretizations of the Vlasov-Poisson System. 2312-2335

Rodolfo Ruben Rosales, Benjamin Seibold
, David Shirokoff
, Dong Zhou:
Unconditional Stability for Multistep ImEx Schemes: Theory. 2336-2360

Tao Yin
, George C. Hsiao, Liwei Xu:
Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem. 2361-2393

Xingjie Helen Li, Jianfeng Lu
:
Quasi-nonlocal Coupling of Nonlocal Diffusions. 2394-2415

Francis Filbet
, Luis Miguel Rodrigues:
Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas. 2416-2443

Irwin Yousept
:
Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity. 2444-2464

Qiang Du
, Zhan Huang, Philippe G. LeFloch:
Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models. 2465-2489

Fabian L. Müller
, Dominik Schötzau, Christoph Schwab:
Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons. 2490-2521
Volume 55, Number 6, 2017

Erik Burman, Peter Hansbo, Mats G. Larson:
The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem. 2523-2539

Charles Dossal, Vincent Duval, Clarice Poon:
Sampling the Fourier Transform Along Radial Lines. 2540-2564

Juan Vicente Gutiérrez-Santacreu
, Marco Restelli:
Inf-Sup Stable Finite Element Methods for the Landau-Lifshitz-Gilbert and Harmonic Map Heat Flow Equations. 2565-2591

Lukas Drescher, Holger Heumann, Kersten Schmidt:
A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces. 2592-2615

Gang Bao, Chuchu Chen, Peijun Li:
Inverse Random Source Scattering for Elastic Waves. 2616-2643

Carsten Carstensen, Hella Rabus:
Axioms of Adaptivity with Separate Marking for Data Resolution. 2644-2665

Qingsong Zou, Li Guo, Quanling Deng
:
High Order Continuous Local-Conserving Fluxes and Finite-Volume-Like Finite Element Solutions for Elliptic Equations. 2666-2686

Michele Botti
, Daniele A. Di Pietro
, Pierre Sochala:
A Hybrid High-Order Method for Nonlinear Elasticity. 2687-2717

Tom Gustafsson
, Rolf Stenberg, Juha H. Videman
:
Mixed and Stabilized Finite Element Methods for the Obstacle Problem. 2718-2744

Kristian Debrabant, Giovanni Samaey
, Przemyslaw Zielinski
:
A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations. 2745-2786

Irwin Yousept
, Jun Zou:
Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law. 2787-2810

Alexandre 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. 2811-2834

Percy Deift, Thomas Trogdon:
Universality for Eigenvalue Algorithms on Sample Covariance Matrices. 2835-2862

Florian A. Potra:
A Superquadratic Variant of Newton's Method. 2863-2884

Fatemeh Ghasemi, Jan Nordström
:
Coupling Requirements for Multiphysics Problems Posed on Two Domains. 2885-2904

Zhaosong Lu
, Lin Xiao:
A Randomized Nonmonotone Block Proximal Gradient Method for a Class of Structured Nonlinear Programming. 2930-2955

Gianmarco 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. 2956-2981

Bo Gong, Wenbin Liu, Tao Tang, Weidong Zhao
, Tao Zhou:
An Efficient Gradient Projection Method for Stochastic Optimal Control Problems. 2982-3005

Jialin Hong, Liying Sun, Xu Wang:
High Order Conformal Symplectic and Ergodic Schemes for the Stochastic Langevin Equation via Generating Functions. 3006-3029

Mario Chater, Angxiu Ni, Patrick Blonigan, Qiqi Wang:
Least Squares Shadowing Method for Sensitivity Analysis of Differential Equations. 3030-3046

Tomás Chacón Rebollo
, Enrique Delgado Ávila
, Macarena Gómez Mármol
, Francesco Ballarin
, Gianluigi Rozza:
On a Certified Smagorinsky Reduced Basis Turbulence Model. 3047-3067

Ajay Jasra
, Kengo Kamatani
, Kody J. H. Law, Yan Zhou:
Multilevel Particle Filters. 3068-3096

Nicola Guglielmi, Christian Lubich:
Matrix Stabilization Using Differential Equations. 3097-3119

Jean-Luc Guermond, Bojan Popov
:
Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations. 3120-3146

Drew P. Kouri
:
A Measure Approximation for Distributionally Robust PDE-Constrained Optimization Problems. 3147-3172

Yajing Li, Yejuan Wang, Weihua Deng
:
Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations. 3173-3202

Pascal Azérad, Jean-Luc Guermond, Bojan Popov
:
Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements. 3203-3224

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