Zobrazeno 1 - 10
of 65 735
pro vyhledávání: '"Elliptic Problems"'
Autor:
Liu, Yi, Russo, Alessandro
This paper introduces a nonconforming virtual element method for general second-order elliptic problems with variable coefficients on domains with curved boundaries and curved internal interfaces. We prove arbitrary order optimal convergence in the e
Externí odkaz:
http://arxiv.org/abs/2410.18526
The paper presents a priori error analysis of the shallow neural network approximation to the solution to the indefinite elliptic equation and and cutting-edge implementation of the Orthogonal Greedy Algorithm (OGA) tailored to overcome the challenge
Externí odkaz:
http://arxiv.org/abs/2410.19122
Autor:
Dong, Zhaonan, Ern, Alexandre
We present both $hp$-a priori and $hp$-a posteriori error analysis of a mixed-order hybrid high-order (HHO) method to approximate second-order elliptic problems on simplicial meshes. Our main result on the $hp$-a priori error analysis is a $\frac12$-
Externí odkaz:
http://arxiv.org/abs/2410.02540
It is established existence and multiplicity of solution for the following class of quasilinear elliptic problems $$ \left\{ \begin{array}{lr} -\Delta_\Phi u = \lambda a(x) |u|^{q-2}u + |u|^{p-2}u, & x\in\Omega, u = 0, & x \in \partial \Omega, \end{a
Externí odkaz:
http://arxiv.org/abs/2410.00861