A discontinuous Galerkin self-dual integral equation (DG-SDIE) method is presented for accurately calculating electromagnetic scattering from objects with impedance boundary condition (IBC) surfaces. The working mechanisms of each term in the DG-SDIE formulation are studied physically and numerically. Based on mechanisms, we propose a new efficient nonsymmetric (NDG-SDIE) IBC problems. comprehensive study made to compare NDG-SDIE previous symmetric (SDG-SDIE) antisymmetric (ADG-SDIE)...

In this article, a massively parallel approach of the multilevel fast multipole algorithm (PMLFMA) on graphics processing unit (GPU) heterogeneous platform, noted as GPU-PMLFMA, is presented for solving extremely large electromagnetic scattering problems involving tens billions unknowns, approach, flexible and efficient ternary partitioning scheme employed at first to partition MLFMA octree among message-passing interface (MPI) processes. Then, computationally intensive parts PMLFMA each MPI...

Korean popular culture such as movies, TV dramas, and pop music is overwhelmingly powerful dramas are one of the most remarkable cultures these. They not only in terms fanaticalness audiences fans, but also bring considerable profit to national income. Cultural imperialism be a new form economic imperialism. The wave brings different level fever certain East Asian countries, China, Hong Kong, Taiwan, Singapore, Japan, Philippines. This paper aims analyse changing position consumers. It...

A flexible and efficient resistive sheet boundary condition (RSBC)-based hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is presented for computing electromagnetic scattering from inhomogeneous objects with microwave-absorbing honeycomb structures. In the proposed algorithm, each nonmagnetic high lossy material coated unit cell wall of first approximated by multilayered RSBC as a zero-thickness to eliminate computational burden due extremely thin...

In this communication, we present flexible and efficient solutions of large-scale electromagnetic scattering problems using the parallel discontinuous Galerkin (DG) surface integral equation (SIE) method. A simplified formulation conventional DG is used by removing interior penalty term, thereby avoiding computational burden contour in DG. It demonstrated numerically that simplification causes convergence deficiency changes accuracy rate solution for objects with sharp corners. The former...

The mechanism of each term in the discontinuous Galerkin (DG) method is analyzed and studied numerically. A simplified DG self-dual integral equation (SDIE) formulation proposed for solving electromagnetic scattering from large-scale objects with impedance boundary condition (IBC). Numerical results show that more flexible memory saving than conventional formulations, especially implementing multilevel fast multipole algorithm (MLFMA). Moreover, a massively parallel strategy MLFMA employed...

Using finite element analysis, the authors studied steady current field distribution under configuration of van der Pauw method [L. J. Pauw, Philips Tech. Rev. 20, 220 (1958)] for resistivity measurement in a diamond anvil cell. Based on theoretical obtained accuracy curve method. This provides accurate determination sample when ratio thickness to its diameter is less than 0.45. They found that contact area between electrode and key factor size dependent given accuracy.

The van der Pauw technique is widely used to determine resistivity of materials. In diamond anvil cell the compressed sample will make contact placement change under high pressure. Using finite element analysis, we study effect error induced by pressure on measurement accuracy method. results show has a significant determination accuracy. This method can provide accurate when spacing b between center and periphery less than D/9 (sample diameter). And rapidly increases as location closing...

The discontinuous Galerkin (DG) method for homogeneous bodies has been studied and shown to be an efficient tool multiscale bodies. However, the slow convergence of DG with block diagonal preconditioner (BDP) is still observed in solving high contrast An preconditioning approach designed this communication by using sparsing on near-field matrix whole region. iteration speed improved while computing resources constructing are effectively reduced. Numerical experiments demonstrate capability...

This communication investigates high-performance computation schemes for local Lagrange interpolation and anterpolation operations in the parallel graphics processing unit (GPU)-accelerated distributed-memory multilevel fast multipole algorithm (MLFMA). Two ELLPACK format-based schemes, namely, block (ELL-B) hybrid compressed sparse column (CSC)-ELL-B (CSC-ELL-B), are proposed evaluation of operations, respectively, which ensure high computational throughput GPU calculation. Optimization...

Based on the Lanczos methods revived by Groetsch, a method of differentiation integration is presented to approximate derivatives approximately specified functions. The applicable for any point in finite closed interval. Convergence estimates $C[a,b]$ and $L^{p}[a,b]$ are given. Numerical examples show that simple applicable.

Using finite element analysis, we studied the steady current field distribution under configuration of four point probe method for resistivity measurement in a diamond anvil cell (DAC). Based on theoretical made correction to formula by Valdes [L. B. Valdes, Proc IRE, 42, 420 (1958)]. The results show that our provides more accurate determination sample resistivity, especially when thickness is less than spacing. We found size electrode could lead significant errors semiconducting samples....

We present a surface integral equation (SIE) solution for special class of anisotropic media, whose permittivity and permeability are both symmetric full tensors with the same or multiple values. This kind media is generated from invisible cloaking absorbing material perfectly matched layer (PML) design. A new derivation based on potential functions presented to obtain closed-form Green's function. Detailed rigorous proofs some vector identities given first time. Special treatments detailed...

The effect of electrode resistivity on the in situ measurement a diamond anvil cell was studied using finite element analysis. theoretical analysis reveals that origin significant error for thin sample is mainly caused by difference between electrodes and sample. authors found reducing such differences can improve accuracy. result shows van der Pauw method [L. J. Pauw, Philips Tech. Rev. 20, 220 (1958)] provide more accurate results samples compared with four-point probe method. This...

We evaluate the outcomes of irradiation by using three-dimensional radiation therapy (3D-RT) or intensity-modulated radiotherapy (IMRT) for recurrent and metastatic cervical cancer.Between 2007 2010, 50 patients with cancer were treated 3D-RT IMRT.The median time interval between initial treatment start was 12 (6-51) months.Salvage surgery performed before in 5 patients, 38 received concurrent chemotherapy.Sixteen underwent 3D-RT, 34 IMRT.Median follow-up all 18.3 months.Three-year overall...

We present an accurate and robust surface integral equation (SIE) method for electromagnetic (EM) analysis of large-scale plasma media with large negative permittivity. To accelerate the matrix-vector multiplication (MVM) in iterative solution matrix equation, multilevel fast multipole algorithm (MLFMA) is generally preferred. Traditional implementation MLFMA will lead to inaccurate results or poor convergence due numerical instability arising from tackle this problem, we analyze formula...

Fast direct solvers based on matrix-decomposition are studied theoretically and numerically for electromagnetic scattering problems. The study not only goes into the computational complexity of fast solvers, but also further coefficient before complexity, which is important, often ignored before. Two representative methods, hierarchical matrix (H-matrix) butterfly in detail. We show that although solver has better both CPU memory requirements compared with H-matrix, actual performance...

Our numerical experiments show that the hierarchical matrix (H-matrix) solver is more efficient than butterfly for electrically small problems, although converse true sufficiently large problems. In this communication, we propose a hybrid decomposition algorithm (HMDA) combines H-matrix and algorithms. HMDA, employed to compress lower–upper in lower levels, whereas adopted at higher levels. Numerical examples demonstrate performance of HMDA similar problems