activity
20192022
most citedA posteriori error analysis for approximations of time-fractional subdiffusion problems

17 citations · 19 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA20222 cited

A modified convolution quadrature combined with the method of fundamental solutions and Galerkin BEM for acoustic scattering

Ebraheem Aldahham, Lehel Banjai

We describe a numerical method for the solution of acoustic exterior scattering problems based on the time-domain boundary integral representation of the solution. As the spatial d…

math.NA2022

Implicit/explicit, BEM/FEM coupled scheme for acoustic waves with the wave equation in the second order formulation

Lehel Banjai

Acoustic scattering of waves by bounded inhomogeneities in an unbounded homogeneous domain is considered. A symmetric coupled system of time-domain boundary integral equations and…

math.NA202217 cited

A posteriori error analysis for approximations of time-fractional subdiffusion problems

Lehel Banjai, Charalambos G. Makridakis

In this paper we consider a sub-diffusion problem where the fractional time derivative is approximated either by the L1 scheme or by Convolution Quadrature. We propose new interpre…

math.NA2020

Numerical analysis of a wave equation for lossy media obeying a frequency power law

Katherine Baker, Lehel Banjai

We study a wave equation with a nonlocal time fractional damping term that models the effects of acoustic attenuation characterized by a frequency dependence power law. First we pr…

math.NA2020

Strong convergence of a Verlet integrator for the semi-linear stochastic wave equation

Lehel Banjai, Gabriel Lord, Jeta Molla

The full discretization of the semi-linear stochastic wave equation is considered. The discontinuous Galerkin finite element method is used in space and analyzed in a semigroup fra…

math.NA2020

Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature

Lehel Banjai, Christian Lubich, Joerg Nick

Generalized impedance boundary conditions are effective, approximate boundary conditions that describe scattering of waves in situations where the wave interaction with the materia…