Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
wiley +1 more source
Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]
Sci RepElsonbaty NM +3 more
europepmc +1 more source
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
A unified concatenation model for plasma physics: Integrability and soliton solutions. [PDF]
MethodsXZayed EME +3 more
europepmc +1 more source
Topology, Orientation and Fiber Path Optimization for Layered Anisotropic Materials
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Topology optimization and additive manufacturing complement each other: the freedom offered by design optimization enables the creation of complex, highly efficient structures that are often feasible only with additive manufacturing. However, most structural optimization methods assume isotropic material properties, an assumption that ...
Dustin Roman Jantos, Philipp Junker
wiley +1 more source
Analysis of stability and chaotic trajectories in nonlinear fluid wave interactions under forcing effects. [PDF]
Sci RepKozubek T +4 more
europepmc +1 more source
Effective Crack Resistance of a Simplified Ductile Heterogeneous Material With Circular Inclusions
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT This contribution investigates the effective crack resistance obtained from a numerical crack‐growth experiment for a simplified two‐dimensional ductile heterogeneous material. The resolved microstructure contains circular inclusions. Their stiffness and fracture resistance are varied independently together with the ligament width between ...
Alexander Schlüter +2 more
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An analytical exploration of dark and bright solitary wave solutions of time-fractional (3+1) -dimensional generalized Painlevé-type equation. [PDF]
Sci RepKhan M, Ali R, Alsulami IM, Alsulami A.
europepmc +1 more source
Sparsity‐Driven Source Localization in Tomographic Sensing Applications
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Hyperspectral standoff detection systems such as Focal Plane Array (FPA) Fourier Transform Infrared (FTIR) spectrometers provide high spatial resolution in detecting airborne chemical contaminants that are invisible to the human eye but potentially hazardous. When two such systems are operated simultaneously with a suitable opening angle, they
Marco Mattuschka +5 more
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Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation. [PDF]
Sci RepHussain A +3 more
europepmc +1 more source