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pro vyhledávání: '"Stocker, Paul"'
Trefftz schemes are high-order Galerkin methods whose discrete spaces are made of elementwise exact solutions of the underlying PDE. Trefftz basis functions can be easily computed for many PDEs that are linear, homogeneous, and have piecewise-constan
Externí odkaz:
http://arxiv.org/abs/2408.00392
In this work we compare crucial parameters for efficiency of different finite element methods for solving partial differential equations (PDEs) on polytopal meshes. We consider the Virtual Element Method (VEM) and different Discontinuous Galerkin (DG
Externí odkaz:
http://arxiv.org/abs/2405.16864
We introduce a new discretization based on the Trefftz-DG method for solving the Stokes equations. Discrete solutions of a corresponding method fulfill the Stokes equation pointwise within each element and yield element-wise divergence-free solutions
Externí odkaz:
http://arxiv.org/abs/2306.14600
Publikováno v:
Applied Mathematics Letters, 146(C), 108824 (2023)
We study the approximation properties of complex-valued polynomial Trefftz spaces for the $(d+1)$-dimensional linear time-dependent Schr\"odinger equation. More precisely, we prove that for the space-time Trefftz discontinuous Galerkin variational fo
Externí odkaz:
http://arxiv.org/abs/2306.09571