About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

Offering the only existing finite element (FE) codes for Maxwell equations that support hp
refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS …

For a parameter dimension d∈ N, we consider the approximation of many-parametric maps
u:[-1, 1] d→ R by deep ReLU neural networks. The input dimension d may possibly be large …

The International Conference on Ad-Hoc Networks and Wireless (ADHOC-NOW) has
become a well-known venue for research dedicated to wireless sensor networks and mobile …

In the first part of this chapter the basic algorithmic structure and performance characteristics
of the p-version of the finite element method are surveyed with reference to elliptic problems …

We prove exponential expression rates of deep operator networks (deep ONets) between
infinite-dimensional spaces that emulate the coefficient-to-solution map of linear, elliptic …

We present a detailed analysis of the convergence properties of the finite cell method which
is a fictitious domain approach based on high order finite elements. It is proved that …

This paper deals with the modelling and development of computational schemes to simulate
pultrusion processes. Two different computational methods, finite differences and elements …

We prove weighted anisotropic analytic estimates for solutions of second-order elliptic
boundary value problems in polyhedra. The weighted analytic classes which we use are the …

The existence and uniqueness of the Rν-generalized solution for the third-boundary-value
problem and the non-self-adjoint second-order elliptic equation with strong singularity are …