Results 81 to 90 of about 814,707 (170)
Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source
On T T ¯ $$ \sqrt{T\overline{T}} $$ deformed pathways: CFT to CCFT
Journal of High Energy PhysicsWe discuss the marginal T T ¯ $$ \sqrt{T\overline{T}} $$ deformation of massless scalar field theories in two dimensions from a dynamical perspective. The operator flow equations for such deformations induce a particular Legendre Transformation between ...
Aritra Banerjee +2 more
doaj +1 more source
Mortar Method With Interpolative Mapping Displacement for Nonmatching Mesh Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT In this paper, an interpolative mapping mortar method (IM‐mortar) is proposed for nonmatching finite element meshes. Displacement continuity is enforced weakly using a Lagrange multiplier field. An intermediate frame is introduced, on which the interface displacement field is reconstructed from the adjoining bodies through interpolative ...
Joon‐Young Kim +3 more
wiley +1 more source
Clustering of Questionnaire Based on Feature Extracted by Geometric Algebra [PDF]
, 2008 Clustering is one of the most useful methods to understand similarity among data. However, most conventional clustering methods do not pay sufficient attention to geometric properties of data. Geometric algebra (GA) is a generalization of complex numbers
MINH, TUAN PHAM +4 more
core +1 more source
Modular intersections, time interval algebras and emergent AdS2
Journal of High Energy PhysicsWe compute the modular flow and conjugation of time interval algebras of conformal Generalized Free Fields (GFF) in 0 + 1-dimensions in the vacuum. For non-integer scaling dimensions, for general time intervals, the modular conjugation and the modular ...
Nima Lashkari +3 more
doaj +1 more source
Tutorial Geometric Computing in Computer Graphics using Conformal Geometric Algebra
, 2008 Early in the development of Computer Graphics it was realized that projective geometry was well suited for the representation of transformations. Now, it seems that another change of paradigm is lying ahead of us based on Geometric Computing using ...
Dietmar Hildenbrand
core
Geometry from integrability: multi-leg fishnet integrals in two dimensions
Journal of High Energy PhysicsWe generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, together with their ...
Claude Duhr +4 more
doaj +1 more source
Zhejiang Daxue xuebao. Lixue ban, 2017 根据几何代数在地理空间对象建模和多维数据分析应用的特点，研究了共形几何代数交/并(meet/join)算子的含义、构建和应用.利用几何代数多维统一、高维计算适应的优势，设计了基于几何代数meet算子和有向半空间划分理论的时空宗地meet算法.从三维地籍和时空数据建模出发，在共形几何代数和时空代数范畴中，给出了三维、四维时空宗地的定义和表达.同时，以宗地数据的拓扑计算为例，将该算法运用于三维时空宗地拓扑计算场景——历史回溯中，取得了良好的效果.该算法的理念同样适用于四维时空宗地的历史回溯meet求解.
WANGQiaoyan(王巧燕) +4 more
doaj +1 more source
Navigation functions in Conformal Geometric Algebra
, 2011 Conformal Geometric Algebra (CGA) can greatly improve controllers by simplifying the necessary equations and by its ability to apply geometric operations to more complicated geometric entities. In this paper we extend a singularity free CGA-based angular
Geoff Fink +5 more
core +1 more source
Euclidean, Projective, Conformal: Choosing a Geometric Algebra for Equivariant Transformers [PDF]
The Geometric Algebra Transformer (GATr) is a versatile architecture for geometric deep learning based on projective geometric algebra. We generalize this architecture into a blueprint that allows one to construct a scalable transformer architecture ...
de Haan, Pim +2 more
core +1 more source