Results 51 to 60 of about 386 (180)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
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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
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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
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A Mathematica module for Conformal Geometric Algebra and Origami Folding
EPiC Series in Computing, 2018 We implemented a Mathematica module of CGA which includes functions to denote CGA elements and compute several operations in CGA. We can draw the figure in 3D space which is corresponding to a CGA element. Our draw function is using Gr\"{o}bner Basis for simplifying equations of figures. It can be used for any dimensional figures.
Mitsuhiro Kondo +3 more
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Partitioned Balancing Domain Decomposition Method for Heterogeneous Static Structures
International Journal for Numerical Methods in Engineering, Volume 127, Issue 16, 30 August 2026.ABSTRACT This study proposes a partitioned balancing domain decomposition (P‐BDD) method for static analysis of heterogeneous structures. The P‐BDD method may be viewed as a localized version of traditional BDD approaches. Its principal solution vector consists of unassembled partition‐boundary displacements, used to compute the partition‐interior ...
Seung‐Hoon Kang +3 more
wiley +1 more source
Rail wear inspection based on computer-aided design model and point cloud data
Advances in Mechanical Engineering, 2018 Railway transportation demands more efficient and accurate rail wear inspection systems to ensure the train operation safety. To obtain continuous three-dimensional data, a structured light rail wear inspection system is developed in this article, and ...
Peng Chen +3 more
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT This study introduces the inductive differential constraint method (IDCM), a data‐informed structural regularization framework that enhances neural network predictions under data‐scarce regimes by enforcing invariant differential structures extracted from simulation data.
Rekisei Ozawa, Yoshitaka Wada
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Geometric operations implemented by conformal geometric algebra neural nodes
CoRR, 2013 Geometric algebra is an optimal frame work for calculating with vectors. The geometric algebra of a space includes elements that represent all the its subspaces (lines, planes, volumes, ...). Conformal geometric algebra expands this approach to elementary representations of arbitrary points, point pairs, lines, circles, planes and spheres.
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Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides
Proceedings of the 33rd Computer Graphics International, 2016 We introduce Clifford geometric algebra based multivector modeling of quartic and general quadric surfaces, Darboux cyclides, Dupin cyclies, tori and pairs of standard CGA objects. A computer visualization is briefly described.
Robert Benjamin Easter, Eckhard Hitzer
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3D Cadastral Data Model Based on Conformal Geometry Algebra
ISPRS International Journal of Geo-Information, 2016 Three-dimensional (3D) cadastral data models that are based on Euclidean geometry (EG) are incapable of providing a unified representation of geometry and topological relations for 3D spatial units in a cadastral database. This lack of unification causes
Ji-yi Zhang +5 more
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