Matches in SemOpenAlex for { <https://semopenalex.org/work/W2042885849> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2042885849 abstract "Recently, an integral equation discontinuous Galerkin method (IEDG) has been proposed to solve electromagnetic problems. One of the most attractive features of IEDG is the possibility to employ non-conformal mesh for the implementation of the combined field integral equation (CFIE) since the square integrable L2 basis is adopted and no continuity requirement is necessary across boundaries of adjacent elements. Moreover, IEDG provides great flexibility in terms of basis function such that different orders of basis functions with different element types can be mixed with the same discretization to best represent the currents locally. This feature also facilitates the incorporation of adaption techniques to IEDG, either through the use of higher order basis functions (p refinement) or subdivide the elements into multiple smaller pieces (h refinement). All these merits makes IEDG a very attractive candidate for the solution of multi-scale and wide-band problems such that geometry components that are smooth can be discretized using coarser elements while finer discretization can be adopted for more intricate structures. For wide-band simulations, IEDG allows one to adopt the discretization that is generated at a lower frequency for the calculation at higher frequencies through adaptively refining the elements. This helps to reduce the computational burden. However, adoption of higher frequency mesh at lower frequencies could result in the well known ”sub-wavelength breakdown” problem for conventional MLFMM. The computational complexity deteriorates significantly for both multi-scale or low frequency problems. In this paper, IEDG is accelerated by hierarchical multi-level fast multipole method, especially for the problems that involve the dense mesh in a local or global scale. H-MLFMM separates the evanescent physics from radiation physics and employ different transformation of basis accordingly. For the evanescent regime, where densely discretized elements reside, it identifies a reduced set of numerically independent basis functions from the original ones via a skeletonalization algorithm, which in essence is a kernel independent algebraic data spacification algorithm. The reduced set of basis functions are named ”skeletons” or ”skeleton DoFs” and they are adopted to represent the interaction related with the original set of basis functions. Subsequently, significant reduction in memory consumption and CPU time per matrix-vector multiplication (MVP) are achieved through the compressed coupling matrices. With the H-MLFMM incorporated, IEDG offers a very attractive approach to solve for the wide-band EM response from a target via the mesh at midfrequency." @default.
- W2042885849 created "2016-06-24" @default.
- W2042885849 creator A5006353283 @default.
- W2042885849 creator A5065051855 @default.
- W2042885849 date "2014-07-01" @default.
- W2042885849 modified "2023-09-22" @default.
- W2042885849 title "An integral equation discontinuous Galerkin method for wide-band and multi-scale problems" @default.
- W2042885849 doi "https://doi.org/10.1109/usnc-ursi.2014.6955667" @default.
- W2042885849 hasPublicationYear "2014" @default.
- W2042885849 type Work @default.
- W2042885849 sameAs 2042885849 @default.
- W2042885849 citedByCount "0" @default.
- W2042885849 crossrefType "proceedings-article" @default.
- W2042885849 hasAuthorship W2042885849A5006353283 @default.
- W2042885849 hasAuthorship W2042885849A5065051855 @default.
- W2042885849 hasConcept C11413529 @default.
- W2042885849 hasConcept C121332964 @default.
- W2042885849 hasConcept C12426560 @default.
- W2042885849 hasConcept C126255220 @default.
- W2042885849 hasConcept C134306372 @default.
- W2042885849 hasConcept C135628077 @default.
- W2042885849 hasConcept C186899397 @default.
- W2042885849 hasConcept C2524010 @default.
- W2042885849 hasConcept C27016315 @default.
- W2042885849 hasConcept C28826006 @default.
- W2042885849 hasConcept C31487907 @default.
- W2042885849 hasConcept C33923547 @default.
- W2042885849 hasConcept C41008148 @default.
- W2042885849 hasConcept C52765159 @default.
- W2042885849 hasConcept C5917680 @default.
- W2042885849 hasConcept C62520636 @default.
- W2042885849 hasConcept C73000952 @default.
- W2042885849 hasConcept C92244383 @default.
- W2042885849 hasConcept C97355855 @default.
- W2042885849 hasConceptScore W2042885849C11413529 @default.
- W2042885849 hasConceptScore W2042885849C121332964 @default.
- W2042885849 hasConceptScore W2042885849C12426560 @default.
- W2042885849 hasConceptScore W2042885849C126255220 @default.
- W2042885849 hasConceptScore W2042885849C134306372 @default.
- W2042885849 hasConceptScore W2042885849C135628077 @default.
- W2042885849 hasConceptScore W2042885849C186899397 @default.
- W2042885849 hasConceptScore W2042885849C2524010 @default.
- W2042885849 hasConceptScore W2042885849C27016315 @default.
- W2042885849 hasConceptScore W2042885849C28826006 @default.
- W2042885849 hasConceptScore W2042885849C31487907 @default.
- W2042885849 hasConceptScore W2042885849C33923547 @default.
- W2042885849 hasConceptScore W2042885849C41008148 @default.
- W2042885849 hasConceptScore W2042885849C52765159 @default.
- W2042885849 hasConceptScore W2042885849C5917680 @default.
- W2042885849 hasConceptScore W2042885849C62520636 @default.
- W2042885849 hasConceptScore W2042885849C73000952 @default.
- W2042885849 hasConceptScore W2042885849C92244383 @default.
- W2042885849 hasConceptScore W2042885849C97355855 @default.
- W2042885849 hasLocation W20428858491 @default.
- W2042885849 hasOpenAccess W2042885849 @default.
- W2042885849 hasPrimaryLocation W20428858491 @default.
- W2042885849 hasRelatedWork W1561991159 @default.
- W2042885849 hasRelatedWork W1570478943 @default.
- W2042885849 hasRelatedWork W1827406637 @default.
- W2042885849 hasRelatedWork W1901414740 @default.
- W2042885849 hasRelatedWork W1963687424 @default.
- W2042885849 hasRelatedWork W1996712309 @default.
- W2042885849 hasRelatedWork W1998934165 @default.
- W2042885849 hasRelatedWork W2030025247 @default.
- W2042885849 hasRelatedWork W2078135570 @default.
- W2042885849 hasRelatedWork W2085233051 @default.
- W2042885849 hasRelatedWork W2114559449 @default.
- W2042885849 hasRelatedWork W2128826062 @default.
- W2042885849 hasRelatedWork W2145816903 @default.
- W2042885849 hasRelatedWork W2147621988 @default.
- W2042885849 hasRelatedWork W2161292853 @default.
- W2042885849 hasRelatedWork W2782634265 @default.
- W2042885849 hasRelatedWork W3126758865 @default.
- W2042885849 hasRelatedWork W3163382963 @default.
- W2042885849 hasRelatedWork W1993016107 @default.
- W2042885849 hasRelatedWork W3126942387 @default.
- W2042885849 isParatext "false" @default.
- W2042885849 isRetracted "false" @default.
- W2042885849 magId "2042885849" @default.
- W2042885849 workType "article" @default.