BDDC Preconditioners for a Space-time Finite Element Discretization of Parabolic Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXV ◽

10.1007/978-3-030-56750-7_42 ◽

2020 ◽

pp. 367-374

Author(s):

Ulrich Langer ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Parabolic Problems ◽

Finite Element Discretization ◽

Element Discretization

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A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_77 ◽

2008 ◽

pp. 645-652

Author(s):

D. Meidner ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-73441-5_6 ◽

2018 ◽

pp. 66-73

Author(s):

Olaf Steinbach ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Finite Element Discretization ◽

Algebraic Multigrid Method ◽

Element Discretization

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A fast discontinuous finite element discretization for the space-time fractional diffusion-wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22179 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2043-2061

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li

Keyword(s):

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Finite Element Discretization ◽

Element Discretization ◽

Diffusion Wave ◽

Discontinuous Finite Element

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θschemes for finite element discretization of the space–time fractional diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.04.032 ◽

2015 ◽

Vol 288 ◽

pp. 264-273 ◽

Author(s):

Qingguang Guan ◽

Max Gunzburger

Keyword(s):

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Element Discretization ◽

Fractional Diffusion Equations

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Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization

SIAM Journal on Numerical Analysis ◽

10.1137/20m1332980 ◽

2021 ◽

Vol 59 (2) ◽

pp. 675-695

Author(s):

Ulrich Langer ◽

Olaf Steinbach ◽

Fredi Tröltzsch ◽

Huidong Yang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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Analysis of backward Euler/extended finite element discretization of parabolic problems with moving interfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.02.010 ◽

2013 ◽

Vol 258 ◽

pp. 152-165 ◽

Author(s):

Paolo Zunino

Keyword(s):

Finite Element ◽

Parabolic Problems ◽

Finite Element Discretization ◽

Extended Finite Element ◽

Element Discretization ◽

Moving Interfaces ◽

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Comparison of algebraic multigrid methods for an adaptive space-time finite-element discretization of the heat equation in 3D and 4D

Numerical Linear Algebra with Applications ◽

10.1002/nla.2143 ◽

2018 ◽

Vol 25 (3) ◽

pp. e2143 ◽

Author(s):

Olaf Steinbach ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Heat Equation ◽

Multigrid Methods ◽

Algebraic Multigrid ◽

Finite Element Discretization ◽

Element Discretization ◽

Algebraic Multigrid Methods

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A fast solution technique for finite element discretization of the space–time fractional diffusion equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.04.003 ◽

2017 ◽

Vol 119 ◽

pp. 146-163 ◽

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li ◽

Hong Wang

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Solution Technique ◽

Finite Element Discretization ◽

Element Discretization ◽

Fast Solution ◽

Time Fractional Diffusion Equation

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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Two grid finite element discretization method for semi‐linear hyperbolic integro‐differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22370 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1676-1693

Author(s):

Luoping Chen ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Discretization Method ◽

Finite Element Discretization ◽

Element Discretization

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