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ORCIDComputational Methods in Applied Mathematics, Volume 21
Volume 21, Number 1, 2021
- Daniel Arndt
, Guido Kanschat:
A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes. 1-11 - Maximilian Bauer, Mario Bebendorf:
Block-Adaptive Cross Approximation of Discrete Integral Operators. 13-29 - Yao Cheng, Chuan-Jing Song, Yanjie Mei:
Local Discontinuous Galerkin Method for Time-Dependent Singularly Perturbed Semilinear Reaction-Diffusion Problems. 31-52 - Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko:
Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. 53-68 - Mustapha Ghilani, El Houssaine Quenjel, Mohamed Rhoudaf:
Numerical Analysis of a Stable Finite Volume Scheme for a Generalized Thermistor Model. 69-87 - Jun Hu, Rui Ma:
Partial Relaxation of 𝐶0 Vertex Continuity of Stresses of Conforming Mixed Finite Elements for the Elasticity Problem. 89-108 - Michael Innerberger, Dirk Praetorius:
Instance-Optimal Goal-Oriented Adaptivity. 109-126 - Gwanghyun Jo, Do Young Kwak:
A Semi-Uniform Multigrid Algorithm for Solving Elliptic Interface Problems. 127-143 - Hengguang Li, Serge Nicaise:
A Priori Analysis of an Anisotropic Finite Element Method for Elliptic Equations in Polyhedral Domains. 145-177 - Ruma Rani Maity, Apala Majumdar, Neela Nataraj:
Error Analysis of Nitsche's and Discontinuous Galerkin Methods of a Reduced Landau-de Gennes Problem. 179-209 - Edgar Solomonik, James Demmel:
Fast Bilinear Algorithms for Symmetric Tensor Contractions. 211-231 - Sudipto Chowdhury, Neela Nataraj, Devika Shylaja:
Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations. 233-262
Volume 21, Number 2, 2021
- Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter:
Reliable Methods of Mathematical Modeling. 263-266 - Roland Becker, Michael Innerberger, Dirk Praetorius:
Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. 267-288 - Carsten Carstensen, Neela Nataraj:
A Priori and a Posteriori Error Analysis of the Crouzeix-Raviart and Morley FEM with Original and Modified Right-Hand Sides. 289-315 - Samuel Dubuis, Marco Picasso, Peter Wittwer:
A Space-Time Adaptive Algorithm to Illustrate the Lack of Collision of a Rigid Disk Falling in an Incompressible Fluid. 317-334 - Herbert Egger, Oliver Habrich, Vsevolod Shashkov:
On the Energy Stable Approximation of Hamiltonian and Gradient Systems. 335-349 - Bernhard Endtmayer, Ulrich Langer, Thomas Wick:
Reliability and Efficiency of DWR-Type A Posteriori Error Estimates with Smart Sensitivity Weight Recovering. 351-371 - Thomas Führer, Carlos García Vera, Norbert Heuer:
A Locking-Free DPG Scheme for Timoshenko Beams. 373-383 - Stefano Giani, Luka Grubisic, Luca Heltai, Ornela Mulita:
Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems. 385-405 - Pascal Heid, Dirk Praetorius, Thomas P. Wihler:
Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods. 407-422 - Christian Kreuzer, Rüdiger Verfürth, Pietro Zanotti:
Quasi-Optimal and Pressure Robust Discretizations of the Stokes Equations by Moment- and Divergence-Preserving Operators. 423-443 - Ani Miraçi, Jan Papez, Martin Vohralík:
Contractive Local Adaptive Smoothing Based on Dörfler's Marking in A-Posteriori-Steered p-Robust Multigrid Solvers. 445-468 - Rob Stevenson, Raymond van Venetië:
Uniform Preconditioners of Linear Complexity for Problems of Negative Order. 469-478 - Marco Zank:
An Exact Realization of a Modified Hilbert Transformation for Space-Time Methods for Parabolic Evolution Equations. 479-496
Volume 21, Number 3, 2021
- Malte Braack, Dietmar Gallistl, Jun Hu, Guido Kanschat, Xuejun Xu:
Sino-German Computational and Applied Mathematics. 497-499 - Fleurianne Bertrand, Daniele Boffi, Rui Ma:
An Adaptive Finite Element Scheme for the Hellinger-Reissner Elasticity Mixed Eigenvalue Problem. 501-512 - Steffen Börm:
Adaptive Directional Compression of High-Frequency Helmholtz Boundary Element Matrices. 513-527 - Carsten Carstensen, Jun Hu:
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms. 529-556 - Lars Diening, Christian Kreuzer:
On the Threshold Condition for Dörfler Marking. 557-567 - Christian Engwer, Sebastian Westerheide:
An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries. 569-591 - Roland Herzog:
Dimensionally Consistent Preconditioning for Saddle-Point Problems. 593-607 - Shibing Tang, Xuejun Xu:
An Optimal Multilevel Method with One Smoothing Step for the Morley Element. 609-633 - Wenchong Tian, Hao Wu:
Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems. 635-659 - Lixiu Wang, Huiyuan Li, Zhimin Zhang:
H(curl 2)-Conforming Spectral Element Method for Quad-Curl Problems. 661-681 - Dennis Wenzel, Michael Nestler, Sebastian Reuther, Maximilian Simon, Axel Voigt:
Defects in Active Nematics - Algorithms for Identification and Tracking. 683-692 - Thomas Wick:
Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem. 693-707 - Julius Witte, Daniel Arndt, Guido Kanschat:
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. 709-728 - Fengna Yan, Yan Xu:
Error Analysis of an Unconditionally Energy Stable Local Discontinuous Galerkin Scheme for the Cahn-Hilliard Equation with Concentration-Dependent Mobility. 729-751
Volume 21, Number 4, 2021
- Yahya Alnashri, Hasan Alzubaidi:
A Gradient Discretisation Method for Anisotropic Reaction-Diffusion Models with Applications to the Dynamics of Brain Tumors. 753-775 - Susanne C. Brenner, Sijing Liu, Li-Yeng Sung:
A P1 Finite Element Method for a Distributed Elliptic Optimal Control Problem with a General State Equation and Pointwise State Constraints. 777-790 - Niklas Ericsson:
A Framework for Approximation of the Stokes Equations in an Axisymmetric Domain. 791-810 - Thomas Führer, Norbert Heuer, Michael Karkulik:
Analysis of Backward Euler Primal DPG Methods. 811-826 - Rezvan Ghaffari, Farideh Ghoreishi:
A Low-Dimensional Compact Finite Difference Method on Graded Meshes for Time-Fractional Diffusion Equations. 827-840 - Leopold Lautsch, Thomas Richter:
Error Estimation and Adaptivity for Differential Equations with Multiple Scales in Time. 841-861 - Cui-Xia Li, Shi-Liang Wu:
A Shift Splitting Iteration Method for Generalized Absolute Value Equations. 863-872 - Felipe Alexander Pipicano, Juan Carlos Muñoz Grajales, Anibal Sosa:
Reconstruction of a Space-Dependent Coefficient in a Linear Benjamin-Bona-Mahony Type Equation. 873-897 - Haili Qiao, Aijie Cheng:
Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem. 899-911 - Jinye Shen, Martin Stynes, Zhi-Zhong Sun:
Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. 913-928 - Dongwook Shin, Yoongu Hwang, Eun-Jae Park:
Novel Adaptive Hybrid Discontinuous Galerkin Algorithms for Elliptic Problems. 929-951
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