The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

It has been 25 years since Sulsky and her coworkers developed the first version of the
material point method (MPM): a quasi particle method to solve continuum mechanics …

In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

Imposing essential boundary conditions is a key issue in mesh-free methods. The mesh-free
interpolation does not verify the Kronecker delta property and, therefore, the imposition of …

In the past few years meshless methods for numerically solving partial differential equations
have come into the focus of interest, especially in the engineering community. This class of …

Kernels are valuable tools in various fields of numerical analysis, including approximation,
interpolation, meshless methods for solving partial differential equations, neural networks …

▪ Abstract Flow simulations are one of the archetypal multiscale problems. Simulations of
turbulent and unsteady separated flows have to resolve a multitude of interacting scales …

A unified strategy for the higher‐order accurate integration of implicitly defined geometries is
proposed. The geometry is represented by a higher‐order level‐set function. The task is to …

Structures Under Crash and Impact: Continuum Mechanics, Discretization and Experimental
Characterization examines the testing and modeling of materials and structures under …

Abstract The Finite Cell Method (FCM) is an embedded domain method, which combines the
fictitious domain approach with high-order finite elements, adaptive integration, and weak …