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A strategy to implement Dirichlet boundary conditions in the context of ADER finite volume schemes. One-dimensional conservation laws
(Pergamon-Elsevier, 2016)
ADER schemes are numerical methods, which can reach an arbitrary order of accuracy in both space and time. They are based on a reconstruction procedure and the solution of generalized Riemann problems. However, for general ...
Laplaciano de Dirichlet e Dirichlet-Neumann em faixas ilimitadas
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2023-04-27)
Let $\Omega$ be an unbounded two dimensional strip on a ruled surface in $\mathbb{R}^d$, $d\geq2$.
Consider $-\Delta_{\Omega}^{D}$ the Dirichlet Laplacian operator restricted to $\Omega$ and $-\Delta_{\Omega}^{DN}$ the ...
Lp theory for Boussinesq system with Dirichlet boundary conditions
(Taylor and Francis Ltd., 2019)
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.We consider the stationary Boussinesq system with non-homogeneous Dirichlet boundary conditions in a bounded domain Ω ⊂ R3 of class C1, 1 with a possibly ...
A discontinuous-Galerkin-based immersed boundary method
(JOHN WILEY & SONS LTD, 2008)
A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced. The proposed method is conceptually simple and free of user-defined parameters. Starting ...
Espectro do Laplaciano de Dirichlet-Neumann em faixas estreitas
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2020-08-11)
Let $\Omega_\varepsilon$ be a thin strip in $\mathbb{R}^2$ and $-\Delta_{DN}^{\Omega_\varepsilon}$ the Dirichlet-Neumann Laplacian in $\Omega_\varepsilon$. In this work, we study the spectral problem of $-\Delta_{DN}^{\O ...
On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation
(Springer, 2015-06)
Two-point boundary value problems of Dirichlet-type are investigated for a hybrid Ermakov-Painlev´e IV equation. Existence and uniqueness results are established in terms of the Painlev´e parameters. In addition, it is ...
A Dirichlet-to-Neumann finite element method for axisymmetric elastostatics in a semi-infinite domain
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017)
The Dirichlet-to-Neumann finite element method (DtN FEM) has proven to be a powerful numerical approach to solve boundary-value problems formulated in exterior domains. However, its application to elastic semi-infinite ...
Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh–Bénard convection
(2015)
We present the adaptation to non–free boundary conditions of a pseudospectral method based on the (complex) Fourier transform. The method is applied to the numerical integration of the Oberbeck–Boussinesq equations in a ...
Quasilinear dirichlet problems in RN with critical growth
(2001-01-01)
In this study, a given quasilinear problem is solved using variational methods. In particular, the existence of nontrivial solutions for GP is examined using minimax methods. The main theorem on the existence of a nontrivial ...