We introduce a domain decomposition structure-preserving method based on hybrid mimetic spectral element for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The is an equilibrium which satisfies pointwise of forces. established through hybridization first allows inter-element normal stress discontinuity and then enforces the continuity using Lagrange mu...

An extended isogeometric analysis (XIGA) approach is proposed for modeling fracturing in a fluid-saturated porous material. XIGA provides definition of the discontinuity independent underlying mesh layout, which obviates need knowing crack extension direction priori. Unlike Lagrange shape functions used standard finite element approach, non-uniform rational B-splines (NURBS) provide higher-orde...

the compact finite difference schemes have been found to give simple ways of reaching the objectives of high accuracy and low computational cost. during the past two decades, the compact schemes have been used extensively for numerical simulation of various fluid dynamics problems. these methods have also been applied for numerical solution of some prototype geophysical fluid dynamics problems ...

Functionally defined neuromuscular structures, or modules (e.g., agonist-antagonist pairings), may be decoupled when elicited by a startling auditory stimulus (SAS), revealing possible lower-level functional units. The current study examines lip kinematics in SAS-induced responses and uses a 3D FEM biomechanical model to simulate the temporal interaction between facial muscles used in speech. R...

School of Computing and Mathematical Sciences, University of Greenwich, UK [email protected] Abstract: In this paper, an adaptive relaxation method and a discontinuity treatment of edges are proposed to improve the digital image denoising process by using the fourth-order partial differential equation (known as the YK model) first proposed by You and Kaveh. Since the YK model would generate some ...

We present developments in the Unicorn-HPC framework for unified continuum mechanics, enabling adaptive finite element computation of fluid-structure interaction, and an overview of the larger FEniCS-HPC framework for automated solution of partial diffential equations of which Unicorn-HPC is a part. We formulate the basic model and finite element discretisation method and adaptive algorithms. W...

This work deals with the use of the conjugate gradient method in conjunction with an adjoint problem formulation for the simultaneous estimation of the spatially varying diffusion coefficient and of the source term distribution in a one-dimensional nonlinear diffusion problem. In the present approach, no a priori assumption is required regarding the functional form of the unknowns. This work ca...