This paper deals with the design and validation of accurate local absorbing boundary
conditions set on convex polygonal and polyhedral computational domains for the finite …

The paper presents a level set based topology optimization method for unidirectional
phononic structures with finite layers of lattice cells. Boundary element method (BEM) is …

The classical finite element approach cannot guarantee satisfactory accuracy for acoustic
problems at large wavenumbers on account of the numerical pollution error effect. This …

This paper employs a new tangential derivative of boundary integral equation for the
optimization problems in the acoustic field with a objective function involving tangential …

We construct a new Absorbing Boundary Condition (ABC) adapted to solving the Helmholtz
equation in polygonal domains in dimension two. Quasi-continuity relations are obtained at …

This paper proposes an isogeometric boundary element (IGABEM) with the aim to solve the
2D steady-state heat conduction problems under spatially varying conductivity and internal …

We study a mathematical framework for the construction of domain decomposition methods
(DDM) for the model Helmholtz equation with high order transmission conditions and cross …

An efficient application of the boundary point interpolation method (BPIM) to acoustic
radiation and scattering is presented. With the aid of a combined field integral equation, the …

We present a new coarse space correction for the iterative Neumann--Neumann method.
We describe the method for general elliptic partial differential equations and perform the …

The Flux Reconstruction (FR) method is well established for hyperbolic equations in the
Computational Fluid Dynamics field, but has barely been studied for electromagnetism. In …