Cover Image

The numerical solution of the Dirichlet generalized and classical harmonic problems for irregular n-sided pyramidal domains by the method of probabilistic solutions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zakradze, M., Tabagari, Z., Koblishvili, N., Davitashvili, T., Sanchez-Saez, J. M., F., Criado-Aldeanueva
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 35J05, 35J25, 65C30, 65N75
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Numerical Solution of the External Dirichlet Generalized Harmonic Problem for a Sphere by the Method of Probabilistic Solution
by: Zakradze, Mamuli, et al.
Published: (2024)

Lipschitz regularity of solutions to two-phase $p$-Laplacian free boundary problems with right hand side
by: Ferrari, Fausto, et al.
Published: (2026)

Non-homogeneous Schrodinger systems with sign-changing and general nonlinearities: Infinitely many solutions
by: Chen, Guanwei
Published: (2025)

Quasi-optimal Discontinuous Galerkin discretisations of the $p$-Dirichlet problem
by: Blechta, J., et al.
Published: (2023)

On the Dirichlet problem for the one-dimensional ROF functional
by: Rybka, Piotr
Published: (2024)

Spike layered solutions for elliptic systems on Riemannian Manifolds
by: Kannoth, Anusree R, et al.
Published: (2025)

Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
by: Sakakibara, Koya
Published: (2024)

Boundary Hölder continuity of stable solutions to semilinear elliptic problems in $C^{1,1}$ domains
by: Erneta, Iñigo U.
Published: (2023)

Blow-up estimates and a priori bounds for the positive solutions of a class of superlinear indefinite elliptic problems
by: López-Gómez, Julián, et al.
Published: (2024)

Variational solutions of the Dirichlet problem, Lebesgue's cusp and non-local properties
by: Arendt, Wolfgang, et al.
Published: (2025)

A note on the shift theorem for the Laplacian in polygonal domains (extended version)
by: Melenk, Jens Markus, et al.
Published: (2024)

Green representations and global Hölder continuity for solutions of elliptic equations
by: Duong, Duc
Published: (2026)

Existence of new self-similar solutions of the fast diffusion equation
by: Hui, Kin Ming
Published: (2025)

On the traces of harmonic functions $H^{1/2}$ and $H^{3/2}$ in Lipschitz domains
by: Amrouche, Chérif, et al.
Published: (2026)

Optimal Hölder regularity for solutions to Signorini-type obstacle problems
by: Lee, Ki-Ahm, et al.
Published: (2025)

Normalized solutions for a fractional Schrödinger-Poisson system with critical growth
by: He, Xiaoming, et al.
Published: (2024)

Semilinear fractional elliptic PDEs with gradient nonlinearities on open balls: existence of solutions and probabilistic representation
by: Penent, Guillaume, et al.
Published: (2023)

A nonlinear Calderón-Zygmund $ L^2$-theory for the Dirichlet problem involving $ -|Du|^γΔ^N_p u=f$
by: Miao, Qianyun, et al.
Published: (2024)

Second-order boundary estimates for solutions to a class of quasilinear elliptic equations
by: Spadaro, Giuseppe, et al.
Published: (2025)

The Dirichlet problem on lower dimensional boundaries: Schauder estimates via perforated domains
by: Fioravanti, Gabriele
Published: (2024)

Numerical solution to the Neumann problem in a Lipschitz domain, based on random walks
by: Lupascu-Stamate, Oana, et al.
Published: (2024)

Nonlinear elliptic Dirichlet boundary value problems on time scales
by: Bandyopadhyay, Shalmali, et al.
Published: (2026)

Infinitely many solutions and asymptotics for resonant oscillatory problems
by: Korman, Philip, et al.
Published: (2025)

Stability estimates of Nyström discretizations of Helmholtz decomposition boundary integral equation formulations for the solution of Navier scattering problems in two dimensions with Dirichlet boundary conditions
by: Dominguez, Victor, et al.
Published: (2023)

Second order regularity for solutions to anisotropic degenerate elliptic equations
by: Baratta, Daniel, et al.
Published: (2024)

Curvature estimates for the level sets of solutions of the Monge-Ampère equation $\det D^2 u=1$
by: Chen, Chuanqiang, et al.
Published: (2013)

Local behaviour of the second order derivatives of solutions to $p$-Laplace equations
by: Iandoli, Felice, et al.
Published: (2025)

Numerical solution of 2D boundary value problems on merged Voronoi-Delaunay meshes
by: Chernyshov, M. M., et al.
Published: (2025)

Third order estimates and the regularity of the stress field for solutions to $p$-Laplace equations
by: Baratta, Daniel, et al.
Published: (2024)

Regularity for solutions of non-uniformly elliptic equations in non-divergence form
by: Kim, Jongmyeong, et al.
Published: (2024)

Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
by: Akrivis, Georgios, et al.
Published: (2023)

A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities
by: Vexler, Boris
Published: (2024)

An interpolation approach to $L^{\infty}$ a priori estimates for elliptic problems with nonlinearity on the boundary
by: Chhetri, Maya, et al.
Published: (2024)

Calderón-Zygmund estimates for double phase problems with matrix weights
by: Byun, Sun-Sig, et al.
Published: (2025)

Sobolev regularity of the symmetric gradient of solutions to a class of $ϕ$-Laplacian systems
by: Giannetti, Flavia, et al.
Published: (2026)

On the fourth order semipositone problem in $\mathbb{R}^N$
by: Biswas, Nirjan, et al.
Published: (2022)

Gradient regularity for strongly singular or degenerate elliptic and parabolic equations
by: Ambrosio, Pasquale
Published: (2025)

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term
by: Shiromani, Ram, et al.
Published: (2024)

Robust boundary integral equations for the solution of elastic scattering problems via Helmholtz decompositions
by: Dominguez, V., et al.
Published: (2022)

Determination of active forces in actomyosin systems as inverse source problems for the Stokes equation
by: Klass, Emily, et al.
Published: (2026)