Computational Methods in Applied Mathematics, Volume 21 (original) (raw)

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Volume 21, Number 1, 2021

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    Daniel Arndt, Guido Kanschat:
    A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes. 1-11
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    Maximilian Bauer, Mario Bebendorf:
    Block-Adaptive Cross Approximation of Discrete Integral Operators. 13-29
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    Yao Cheng, Chuan-Jing Song, Yanjie Mei:
    Local Discontinuous Galerkin Method for Time-Dependent Singularly Perturbed Semilinear Reaction-Diffusion Problems. 31-52
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    Ivan P. Gavrilyuk, Volodymyr L. Makarov, Nataliya V. Mayko:
    Weighted Estimates of the Cayley Transform Method for Abstract Differential Equations. 53-68
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    Mustapha Ghilani, El Houssaine Quenjel, Mohamed Rhoudaf:
    Numerical Analysis of a Stable Finite Volume Scheme for a Generalized Thermistor Model. 69-87
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    Jun Hu, Rui Ma:
    Partial Relaxation of 𝐶0 Vertex Continuity of Stresses of Conforming Mixed Finite Elements for the Elasticity Problem. 89-108
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    Michael Innerberger, Dirk Praetorius:
    Instance-Optimal Goal-Oriented Adaptivity. 109-126
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    Gwanghyun Jo, Do Young Kwak:
    A Semi-Uniform Multigrid Algorithm for Solving Elliptic Interface Problems. 127-143
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    Hengguang Li, Serge Nicaise:
    A Priori Analysis of an Anisotropic Finite Element Method for Elliptic Equations in Polyhedral Domains. 145-177
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    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
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    Edgar Solomonik, James Demmel:
    Fast Bilinear Algorithms for Symmetric Tensor Contractions. 211-231
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    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

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    Dirk Praetorius, Sergey I. Repin, Stefan A. Sauter:
    Reliable Methods of Mathematical Modeling. 263-266
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    Roland Becker, Michael Innerberger, Dirk Praetorius:
    Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional. 267-288
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    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
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    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
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    Herbert Egger, Oliver Habrich, Vsevolod Shashkov:
    On the Energy Stable Approximation of Hamiltonian and Gradient Systems. 335-349
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    Bernhard Endtmayer, Ulrich Langer, Thomas Wick:
    Reliability and Efficiency of DWR-Type A Posteriori Error Estimates with Smart Sensitivity Weight Recovering. 351-371
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    Thomas Führer, Carlos García Vera, Norbert Heuer:
    A Locking-Free DPG Scheme for Timoshenko Beams. 373-383
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    Stefano Giani, Luka Grubisic, Luca Heltai, Ornela Mulita:
    Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems. 385-405
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    Pascal Heid, Dirk Praetorius, Thomas P. Wihler:
    Energy Contraction and Optimal Convergence of Adaptive Iterative Linearized Finite Element Methods. 407-422
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    Christian Kreuzer, Rüdiger Verfürth, Pietro Zanotti:
    Quasi-Optimal and Pressure Robust Discretizations of the Stokes Equations by Moment- and Divergence-Preserving Operators. 423-443
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    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
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    Rob Stevenson, Raymond van Venetië:
    Uniform Preconditioners of Linear Complexity for Problems of Negative Order. 469-478
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    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

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    Malte Braack, Dietmar Gallistl, Jun Hu, Guido Kanschat, Xuejun Xu:
    Sino-German Computational and Applied Mathematics. 497-499
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    Fleurianne Bertrand, Daniele Boffi, Rui Ma:
    An Adaptive Finite Element Scheme for the Hellinger-Reissner Elasticity Mixed Eigenvalue Problem. 501-512
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    Steffen Börm:
    Adaptive Directional Compression of High-Frequency Helmholtz Boundary Element Matrices. 513-527
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    Carsten Carstensen, Jun Hu:
    Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms. 529-556
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    Lars Diening, Christian Kreuzer:
    On the Threshold Condition for Dörfler Marking. 557-567
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    Christian Engwer, Sebastian Westerheide:
    An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries. 569-591
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    Roland Herzog:
    Dimensionally Consistent Preconditioning for Saddle-Point Problems. 593-607
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    Shibing Tang, Xuejun Xu:
    An Optimal Multilevel Method with One Smoothing Step for the Morley Element. 609-633
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    Wenchong Tian, Hao Wu:
    Kernel Embedding Based Variational Approach for Low-Dimensional Approximation of Dynamical Systems. 635-659
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    Lixiu Wang, Huiyuan Li, Zhimin Zhang:
    H(curl 2)-Conforming Spectral Element Method for Quad-Curl Problems. 661-681
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    Dennis Wenzel, Michael Nestler, Sebastian Reuther, Maximilian Simon, Axel Voigt:
    Defects in Active Nematics - Algorithms for Identification and Tracking. 683-692
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    Thomas Wick:
    Dual-Weighted Residual A Posteriori Error Estimates for a Penalized Phase-Field Slit Discontinuity Problem. 693-707
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    Julius Witte, Daniel Arndt, Guido Kanschat:
    Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. 709-728
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    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

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    Yahya Alnashri, Hasan Alzubaidi:
    A Gradient Discretisation Method for Anisotropic Reaction-Diffusion Models with Applications to the Dynamics of Brain Tumors. 753-775
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    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
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    Niklas Ericsson:
    A Framework for Approximation of the Stokes Equations in an Axisymmetric Domain. 791-810
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    Thomas Führer, Norbert Heuer, Michael Karkulik:
    Analysis of Backward Euler Primal DPG Methods. 811-826
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    Rezvan Ghaffari, Farideh Ghoreishi:
    A Low-Dimensional Compact Finite Difference Method on Graded Meshes for Time-Fractional Diffusion Equations. 827-840
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    Leopold Lautsch, Thomas Richter:
    Error Estimation and Adaptivity for Differential Equations with Multiple Scales in Time. 841-861
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    Cui-Xia Li, Shi-Liang Wu:
    A Shift Splitting Iteration Method for Generalized Absolute Value Equations. 863-872
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    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
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    Haili Qiao, Aijie Cheng:
    Finite Difference Method on Non-Uniform Meshes for Time Fractional Diffusion Problem. 899-911
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    Jinye Shen, Martin Stynes, Zhi-Zhong Sun:
    Two Finite Difference Schemes for Multi-Dimensional Fractional Wave Equations with Weakly Singular Solutions. 913-928
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    Dongwook Shin, Yoongu Hwang, Eun-Jae Park:
    Novel Adaptive Hybrid Discontinuous Galerkin Algorithms for Elliptic Problems. 929-951

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