Results 111 to 120 of about 1,563 (194)
A Cartesian grid-based boundary integral method for moving interface problems
, 2023 This paper proposes a Cartesian grid-based boundary integral method for efficiently and stably solving two representative moving interface problems, the Hele-Shaw flow and the Stefan problem.
Zhou, Han, Ying, Wenjun
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Engineering Reports, Volume 8, Issue 6, June 2026.A pseudo‐two‐dimensional (P2D) reaction–diffusion framework is proposed to model reactive oxygen species (ROS) generation, transport, and scavenging in Ag–ZnO/Fucoidan nanocomposites. Spatially segregated ROS source (Ag–ZnO) and sink (fucoidan) domains are embedded into a one‐dimensional computational model, capturing nonlinear feedback between site ...
Mohamed Abu Shuheil +8 more
wiley +1 more source
The use of the mesh free methods (radial basis functions) in the modeling of radionuclide migration and moving boundary value problems [PDF]
, 2007 Recently, the mesh free methods (radial basis functions-RBFs) have emerged as a novel computing method in the scientific and engineering computing community.
Vrankar, Leopold +2 more
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Engineering Reports, Volume 8, Issue 6, June 2026.A one‐dimensional multiphysics engineering model is developed to elucidate the coupled transport and reaction phenomena governing textile‐based wearable lactate biosensors operating in sweat. The model integrates diffusion of lactate, oxygen, hydrogen peroxide, and protons with dual‐substrate enzymatic kinetics, acid–base equilibria, and mediator‐based
Kamel A. Saleh +8 more
wiley +1 more source
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
wiley +1 more source
Regularity of the free boundary in the obstacle problem.
Free boundary problems are those described by PDEs that exhibit a-priori unknown (free) interfaces or boundaries. Such type of problems appears in Physics, Geometry, Probability, Biology, or Finance, and the study of solutions and free boundaries uses ...
LECCI, MARCO
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A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
wiley +1 more source
A Compact Algorithm for Applying Periodic Boundary Conditions in 3D RVE Modeling with Abaqus
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Periodic boundary conditions (PBCs) are essential in multiscale modeling for computing the effective properties of heterogeneous materials via representative volume elements (RVEs). While several automated solutions have been developed for implementing PBCs in finite element software, many rely on structured node classification and predefined ...
Reza Sadeghpour, Martin Kraska
wiley +1 more source
On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Toward an Efficient Shifted Cholesky QR for Applications in Model Order Reduction Using pyMOR
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Many model order reduction (MOR) methods rely on the computation of an orthonormal basis of a subspace onto which the large full order model is projected. Numerically, this entails the orthogonalization of a set of vectors. The nature of the MOR process imposes several requirements for the orthogonalization process.
Maximilian Bindhak +2 more
wiley +1 more source