
Finite element approximation of fractional Neumann problems
In this paper we consider approximations of Neumann problems for the int...
read it

Simulation of Fractional Brownian Surfaces via Spectral Synthesis on Manifolds
Using the spectral decomposition of the LaplaceBeltrami operator we sim...
read it

On the numerical solution of the LaplaceBeltrami problem on piecewisesmooth surfaces
The LaplaceBeltrami problem on closed surfaces embedded in three dimens...
read it

Three representations of the fractional pLaplacian: semigroup, extension and Balakrishnan formulas
We introduce three representation formulas for the fractional pLaplace ...
read it

Splitting Schemes for NonStationary Problems with a Rational Approximation for Fractional Powers of the Operator
Problems of the numerical solution of the Cauchy problem for a firstord...
read it

Note on approximating the Laplace transform of a Gaussian on a complex disk
In this short note we study how well a Gaussian distribution can be appr...
read it

Aspects of Isogeometric Analysis with CatmullClark Subdivision Surfaces
An isogeometric approach for solving the LaplaceBeltrami equation on a ...
read it
Approximation of the spectral fractional powers of the LaplaceBeltrami Operator
We consider numerical approximation of spectral fractional LaplaceBeltrami problems on closed surfaces. The proposed numerical algorithms rely on their Balakrishnan integral representation and consists a sinc quadrature coupled with standard finite element methods for parametric surfaces. Possibly up to a log term, optimal rate of convergence is observed and derived analytically when the discrepancies between the exact solution and its numerical approximations are measured in L^2 and H^1.
READ FULL TEXT
Comments
There are no comments yet.