A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation Roland GlowinskiHao LiuJianliang Qian OriginalPaper 27 September 2018 Pages: 1 - 47
Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation Roland GlowinskiHao LiuJianliang Qian Correction 28 October 2018 Pages: 48 - 48
A High Order Mixed-FEM for Diffusion Problems on Curved Domains Ricardo OyarzúaManuel SolanoPaulo Zúñiga OriginalPaper 28 September 2018 Pages: 49 - 78
A Global Divergence Conforming DG Method for Hyperbolic Conservation Laws with Divergence Constraint Praveen Chandrashekar OriginalPaper 28 September 2018 Pages: 79 - 102
Numerical Methods for Cauchy Bisingular Integral Equations of the First Kind on the Square Luisa FermoMaria Grazia RussoGiada Serafini OriginalPaper 03 October 2018 Pages: 103 - 127
Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval Jian-Feng CaiHaixia LiuYang Wang OriginalPaper 22 October 2018 Pages: 128 - 147
A Fixed Mesh Method with Immersed Finite Elements for Solving Interface Inverse Problems Ruchi GuoTao LinYanping Lin OriginalPaper 13 October 2018 Pages: 148 - 175
High-Order Finite-Volume Method with Block-Based AMR for Magnetohydrodynamics Flows L. FreretL. IvanC. P. T. Groth OriginalPaper 12 October 2018 Pages: 176 - 208
Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation Mark AinsworthGuosheng Fu OriginalPaper 08 October 2018 Pages: 209 - 226
A Gauss–Jacobi Kernel Compression Scheme for Fractional Differential Equations Daniel Baffet OriginalPaper 09 October 2018 Pages: 227 - 248
Smooth and Compactly Supported Viscous Sub-cell Shock Capturing for Discontinuous Galerkin Methods J. GlaubitzA. C. Nogueira Jr.C. A. C. Silva OriginalPaper Open access 20 October 2018 Pages: 249 - 272
An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves C. EscalanteE. D. Fernández-NietoM. J. Castro OriginalPaper 13 October 2018 Pages: 273 - 320
RBF-Based Partition of Unity Methods for Elliptic PDEs: Adaptivity and Stability Issues Via Variably Scaled Kernels S. De MarchiA. MartínezM. Rossini OriginalPaper 13 October 2018 Pages: 321 - 344
Numerical Methods for the Wigner Equation with Unbounded Potential Zhenzhu ChenYunfeng XiongSihong Shao OriginalPaper 12 October 2018 Pages: 345 - 368
Numerical Simulations of Viscoelastic Fluid Flows Past a Transverse Slot Using Least-Squares Finite Element Methods Hsueh-Chen LeeHyesuk Lee OriginalPaper 26 October 2018 Pages: 369 - 388
Partitioned Time Stepping Method for a Dual-Porosity-Stokes Model Li ShanJiangyong HouJie Chen OriginalPaper 30 November 2018 Pages: 389 - 413
A Posteriori Error Analysis of the Crank–Nicolson Finite Element Method for Parabolic Integro-Differential Equations G. Murali Mohan ReddyRajen Kumar SinhaJosé Alberto Cuminato OriginalPaper 30 October 2018 Pages: 414 - 441
A Nonconforming Immersed Finite Element Method for Elliptic Interface Problems Tao LinDongwoo SheenXu Zhang OriginalPaper 12 November 2018 Pages: 442 - 463
An Asymptotics-Based Adaptive Finite Element Method for Kohn–Sham Equation Yedan ShenYang KuangGuanghui Hu OriginalPaper 27 October 2018 Pages: 464 - 492
Numerical Simulation and Error Estimation of the Time-Dependent Allen–Cahn Equation on Surfaces with Radial Basis Functions Vahid MohammadiDavoud MirzaeiMehdi Dehghan OriginalPaper 26 October 2018 Pages: 493 - 516
A Local Radial Basis Function Method for Pricing Options Under the Regime Switching Model Hengguang LiReza MollapouraslMajid Haghi OriginalPaper 26 October 2018 Pages: 517 - 541
Adaptive Characteristic Length for L-SIAC Filtering of FEM Data Ashok JallepalliRobert HaimesRobert M. Kirby OriginalPaper 16 November 2018 Pages: 542 - 563
A Characteristic-Based Spectral Element Method for Moving-Domain Problems Saumil PatelPaul FischerAnanias Tomboulides OriginalPaper 03 December 2018 Pages: 564 - 592
Error Estimates of Energy Stable Numerical Schemes for Allen–Cahn Equations with Nonlocal Constraints Shouwen SunXiaobo JingQi Wang OriginalPaper 02 November 2018 Pages: 593 - 623
Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem Hu ChenMartin Stynes OriginalPaper 30 October 2018 Pages: 624 - 647
A Simplified Threshold Dynamics Algorithm for Isotropic Surface Energies Tiago SalvadorSelim Esedoḡlu OriginalPaper 31 October 2018 Pages: 648 - 669
