Solving Wentzell-Dirichlet Boundary Value Problem with Superabundant Data Using Reflecting Random Walk Simulation
نویسندگان
چکیده
منابع مشابه
Wentzell boundary conditions in the context of Dirichlet forms
Let X be a locally compact space, m a Radon measure on X, h a regular Dirichlet form in L2(X,m). For a Radon measure μ we interpret h as a regular Dirichlet form τ in L2(m+μ). We show that μ decomposes as μr +μs where μr is coupled to h and μs decouples from h. Additionally to this ‘space perturbation’, a second perturbation is introduced by a measure ν describing absorption. The main object of...
متن کاملDirichlet boundary value problem for Duffing’s equation
We use a direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions. Mathematics Subject Classification. 49J02
متن کاملDepth Map Boundary Enhancement Using Random Walk
Depth information is essential for depth image-based rendering (DIBR), which is one of the rendering processes for the virtual view using a color image and its corresponding depth map. Although there are several depth estimation methods, more accurate depth estimation is still required. Since inaccurate depth information along object boundaries causes serious rendering errors, depth boundary in...
متن کاملRandom Walks for Solving Boundary-Value Problems with Flux Conditions
We consider boundary-value problems for elliptic equations with constant coefficients and apply Monte Carlo methods to solving these equations. To take into account boundary conditions involving solution’s normal derivative, we apply the new mean-value relation written down at boundary point. This integral relation is exact and provides a possibility to get rid of the bias caused by usually use...
متن کاملA Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks
In this paper, a hybrid approach for solving the Laplace equation in general threedimensional (3-D) domains is presented. The approach is based on a local method for the Dirichletto-Neumann (DtN) mapping of a Laplace equation by combining a deterministic (local) boundary integral equation (BIE) method and the probabilistic Feynman–Kac formula for solutions of elliptic partial differential equat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Methodology and Computing in Applied Probability
سال: 2013
ISSN: 1387-5841,1573-7713
DOI: 10.1007/s11009-013-9390-3