Zobrazeno 1 - 10
of 756
pro vyhledávání: '"65N15, 65N30"'
In this work, we explore the application of the Virtual Element Methods for Neumann boundary Optimal Control Problems in saddle point formulation. The method is proposed for arbitrarily polynomial order of accuracy and general polygonal meshes. Our c
Externí odkaz:
http://arxiv.org/abs/2411.08497
Autor:
Wu, Shuonan, Zhou, Hao
This paper presents a novel stabilized nonconforming finite element method for solving the surface biharmonic problem. The method extends the New-Zienkiewicz-type (NZT) element to polyhedral (approximated) surfaces by employing the Piola transform to
Externí odkaz:
http://arxiv.org/abs/2411.02952
We consider the surface Stokes equation with Lagrange multiplier and approach it numerically. Using a Taylor-Hood surface finite element method, along with an appropriate estimation for the additional Lagrange multiplier, we establish optimal converg
Externí odkaz:
http://arxiv.org/abs/2410.19470
Autor:
Hauck, Moritz, Lozinski, Alexei
In this paper, we propose a multiscale method for heterogeneous Stokes problems. The method is based on the Localized Orthogonal Decomposition (LOD) methodology and has approximation properties independent of the regularity of the coefficients. We ap
Externí odkaz:
http://arxiv.org/abs/2410.14514
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
This paper addresses the non-homogeneous Neumann boundary condition on domains with curved boundaries. We consider the Raviart-Thomas element (RTk ) of degree $k \geq 1 $on triangular mesh. on a triangular mesh. A key feature of our boundary value co
Externí odkaz:
http://arxiv.org/abs/2410.00687
We propose and rigorously analyze a finite element method for the approximation of stationary Fokker--Planck--Kolmogorov (FPK) equations subject to periodic boundary conditions in two settings: one with weakly differentiable coefficients, and one wit
Externí odkaz:
http://arxiv.org/abs/2409.07371
Autor:
Fuica, Francisco
We propose and analyze a posteriori error estimates for a control-constrained optimal control problem with bang-bang solutions. We consider a solution strategy based on the variational approach, where the control variable is not discretized; no Tikho
Externí odkaz:
http://arxiv.org/abs/2409.03064
Autor:
Kaltenbach, Alex, Jeßberger, Julius
A finite element (FE) discretization for the steady, incompressible, fully inhomogeneous, generalized Navier-Stokes equations is proposed. By the method of divergence reconstruction operators, the formulation is valid for all shear stress exponents $
Externí odkaz:
http://arxiv.org/abs/2408.15731
We propose a modified Trefftz Discontinuous Galerkin (TDG) method for approximating a time-harmonic acoustic scattering problem in an infinitely elongated waveguide. In the waveguide we suppose there is a bounded, penetrable and possibly absorbing sc
Externí odkaz:
http://arxiv.org/abs/2408.14833