Efficient simulation of cables with anisotropic high‐order solid finite elements

Anisotropic Reenement Algorithms for Finite Elements

Efficient, Physically Plausible Finite Elements

This paper discusses FEM-based simulations of soft bodies in terms of speed and robustness. To be physically plausible, three fundamental laws must be respected: rotational invariance, Newton’s law and Euler’s law. We show that precomputed strain-displacement matrices generate nonphysical torques which can lead to visual artifacts. We then derive the fastest FEM-based method meeting our criteri...

Simulation of tagged MR images with linear tetrahedral solid elements.

Computer simulation of tagged magnetic resonance (MR) images is presented using signals derived from connected solid triangular or tetrahedral elements. Simulation provides precisely-known deformations for validating tag quantification algorithms. MR imaging signal is derived by Fourier-transforming over a standard element, then mapping to actual elements via transformations. Linear intensity v...

Anisotropic finite elements for the transient transport equation

Error estimates for anisotropic finite elements and applications

The finite element method is one of the most frequently used techniques to approximate the solution of partial differential equations. It consists in approximating the unknown solution by functions which are polynomials on each element of a given partition of the domain, made of triangles or quadrilaterals (or their generalizations to higher dimensions). A fundamental problem is to estimate the...