Results 21 to 30 of about 90 (82)
Generalizations of the Dirichlet Problem for Bianalytic Functions
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT The classical theory of porous media is based on assumed micro‐homogeneity of the solid phase (skeleton). Based on the drained macroscale elastic stiffness, it is possible to analytically compute auxiliary properties such as the Biot‐Willis and Skempton parameters.
Phil Kreutzheide +3 more
wiley +1 more source
Safeguarded Reinforcement Learning for Dynamic Environments
Optimal Control Applications and Methods, EarlyView.This paper uses a combination of Reinforcement Learning and Funnel Control to train a fast and safe controller for systems operating in changing environments. Furthermore, the presented formulation overcomes former limitations associated with the need for predefined reference trajectories.
Simon Gottschalk
wiley +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Computer Graphics Forum, EarlyView.Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, Volume 79, Issue 12, Page 2435-2490, December 2026.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The previously introduced X‐FFT solver permits solving three‐dimensional linear elastic homogenization problems with high accuracy and efficiency. Due to the extended finite element discretization (X‐FEM), matrix‐inclusion problems may be approximated with the error convergence of interface‐conforming finite elements.
Flavia Gehrig, Matti Schneider
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Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel +2 more
wiley +1 more source