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• A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

  Dan Li, Yiqiang Li, Zhanbin Yuan

  2023-09-19

  25847 2167 Pages:647-666

• A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

  Mahboub Baccouch

  2023-09-19

  24521 2122 Pages:618-646

• A Numerical Analysis of the Coupled Cahn-Hilliard/Allen-Cahn System with Dynamic Boundary Conditions

  Ahmad Makki, Alain Miranville, Madalina Petcu

  2022-08-22

  297205 2711 Pages:630-655

• An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

  ​Irene Sykopetritou, Christos Xenophontos

  2021-05-25

  40141 2681 Pages:481-499

• Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

  David Wells, Jeffrey Banks

  2019-08-09

  34563 4139 Pages:891-924 Open-access

• Coupling Method of Plane Wave DG and Boundary Element for Electromagnetic Scattering

  Qiya Hu, Xingyue Guo, Yang Liu, Haijing Zhou

  2019-02-21

  34227 2689 Pages:609-625

• A Numerical Approach for Solving a Class of a Singular Boundary Value Problems Arising in Physiology

  M. Abukhaled, S. A. Khuri & A. Sayfy

  2011-08-01

  32258 2655 Pages:353-363

• Simulating the Axisymmetric Interfacial Flows with Insoluble Surfactant by Immersed Boundary Method

  M.-C. Lai, C.-Y. Huang, Y.-M. Huang

  2018-08-15

  33175 3568 Pages:105-117

• Two-Grid Algorithms for an Ordinary Second Order Equation with an Exponential Boundary Layer in the Solution

  L. G. Vulkov, A. I. Zadorin

  2010-07-01

  32911 2501 Pages:580-592

• Finite Volume Approximation of Two-Dimensional Stiff Problems

  C.-Y. Jung, R. Temam

  2010-07-01

  32903 2457 Pages:462-476

• A Robust Overlapping Schwarz Method for a Singularly Perturbed Semilinear Reaction-Diffusion Problem with Multiple Solutions

  N. Kopteva, M. Pickett & H. Purtill

  2009-06-01

  30485 2505 Pages:680-695

• Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion

  Adrian Muntean

  2008-05-01

  31566 3421 Pages:353-372

• Quintic Spline Solutions of Fourth Order Boundary-Value Problems

  S. S. Siddiqi, G. Akram

  2008-05-01

  31648 3704 Pages:101-111

• An Extended Domain Method for Optimal Boundary Control for Navier-Stokes Equations

  Sandro Manservisi

  2021-11-09

  30734 2343 Pages:584-607

• Linear Advection with Ill-Posed Boundary Conditions via $L^1$-Minimization

  Jean-Luc Guermond, Bojan Popov

  2007-04-01

  32434 3829 Pages:39-47

• A Posteriori Error Analysis of an Augmented Dual-Mixed Method in Linear Elasticity with Mixed Boundary Conditions

  Tom\u00e1s P. Barrios, Edwin M. Behrens, Mar\u00eda Gonz\u00e1lez

  2019-08-09

  33725 2607 Pages:804-824

• A Relaxation Approach to Discretization of Boundary Optimal Control Problems of Semilinear Parabolic Equations

  B. Kokkinis

  2019-08-09

  33054 2578 Pages:731-744

• $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

  Efthymios N. Karatzas

  2024-06-24

  18899 1442 Pages:528-559

• Orthogonal Spline Collocation for Poisson’s Equation with Neumann Boundary Conditions

  Bernard Bialecki, Nick Fisher

  2023-11-13

  22733 2049 Pages:832-854

• Full Discretisation of the Time Dependent Navier-Stokes Equations with Anisotropic Slip Boundary Condition

  Rim Aldbaissy, Nancy Chalhoub, J. K. Djoko, Toni Sayah

  2023-05-22

  29547 2406 Pages:497-517

• Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation as a Port-Hamiltonian System

  Ghislain Haine, Denis Matignon, Anass Serhani

  2022-11-28

  292581 3088 Pages:92-133

• Asymptotic and Exact Self-Similar Evolution of a Growing Dendrite

  Amlan K. Barua, Shuwang Li, Xiaofan Li, Perry Leo

  2022-09-27

  37952 2663 Pages:777-792

• A Comparison of Regularization Methods for Boundary Optimal Control Problems

  Giorgio Bornia, Andrea Chierici, Saikanth Ratnavale

  2022-09-27

  41481 2867 Pages:329-346

• A Finite-Difference Scheme for a Linear Multi-Term Fractional-in-Time Differential Equation with Concentrated Capacities

  Aleksandra Delić, Sandra Živanović, Zorica Milovanović Jeknić

  2021-03-24

  31976 2561 Pages:265-286

• Weak Galerkin Method for the Helmholtz Equation with DtN Boundary Condition

  Qingjie Hu, Yinnian He, Kun Wang

  2020-08-04

  35166 2596 Pages:643-661

• A Finite Difference Method for Stochastic Nonlinear Second-Order Boundary-Value Problems Driven by Additive Noises

  Mahboub Baccouch

  2020-05-20

  34677 2721 Pages:368-389

• Numerical Analysis of an Energy-Conservation Scheme for Two-Dimensional Hamiltonian Wave Equations with Neumann Boundary Conditions

  Changying Liu, Wei Shi, Xinyuan Wu

  2019-02-22

  35789 2744 Pages:319-339