Zobrazeno 1 - 10
of 762
pro vyhledávání: '"Goal-oriented adaptivity"'
This paper is concerned with the numerical approximation of quantities of interest associated with solutions to parametric elliptic partial differential equations (PDEs). The key novelty of this work is in its focus on the quantities of interest repr
Externí odkaz:
http://arxiv.org/abs/2208.09388
We propose a goal-oriented mesh-adaptive algorithm for a finite element method stabilized via residual minimization on dual discontinuous-Galerkin norms. By solving a saddle-point problem, this residual minimization delivers a stable continuous appro
Externí odkaz:
http://arxiv.org/abs/2007.08824
In this work, a flexible higher-order space-time adaptive finite element approximation of convection-dominated transport with coupled fluid flow is developed and studied. Convection-dominated transport is a challenging subproblem in poromechanics in
Externí odkaz:
http://arxiv.org/abs/2002.06855
Autor:
Innerberger, Michael, Praetorius, Dirk
Publikováno v:
Computational Methods in Applied Mathematics, 21 (2021), 109-126
We consider an adaptive finite element method with arbitrary but fixed polynomial degree $p \ge 1$, where adaptivity is driven by an edge-based residual error estimator. Based on the modified maximum criterion from [Diening et al, Found. Comput. Math
Externí odkaz:
http://arxiv.org/abs/1907.13035
Publikováno v:
In Computers and Mathematics with Applications 1 June 2021 91:17-35
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 15 April 2021 377
In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous media. The method for approximating the quantity of interest involves
Externí odkaz:
http://arxiv.org/abs/1812.02290
The cost- and memory-efficient numerical simulation of coupled volume-based multi-physics problems like flow, transport, wave propagation and others remains a challenging task with finite element method (FEM) approaches. Goal-oriented space and time
Externí odkaz:
http://arxiv.org/abs/1812.08558
Publikováno v:
In Journal of Computational Physics 15 September 2019 393:59-73
Autor:
Muñoz-Matute, Judit, Calo, Victor M., Pardo, David, Alberdi, Elisabete, van der Zee, Kristoffer G.
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 15 April 2019 347:176-200