This book focuses on computational methods to determine the dynamics of large-scale electromagnetic, acoustic, and mechanical systems, including those with many substructures and characterized by an extended range of scales. Examples include large naval and maritime vessels, aerospace vehicles, and densely packed microelectronic and optical integrated circuits (VLSI). The interplay of time and frequency-domain computational and experimental procedures was addressed, emphasizing their relationship and synergy, and indicating mathematics research opportunities.
Board on Mathematical Sciences, National Research Council
1 FRONT MATTER; 2 OPENING REMARKS; 3 INTRODUCTION; 4 1 HIGH-ORDER, MULTILEVEL, ADAPTIVE TIME-DOMAIN METHODS FOR STRUCTURAL ACOUSTICS SIMULATIONS; 5 2 DISTRIBUTED FEEDBACK RESONATORS; 6 3 ACOUSTIC, ELASTODYNAMIC, AND ELECTROMAGNETIC WAVEFIELD COMPUTATION - A STRUCTURED APPROACH BASED ON RECIPROCITY; 7 4 NUMERICAL MODELING OF THE INTERACTIONS OF ULTRAFAST OPTICAL PULSES WITH NONRESONANT AND RESONANT MATERIALS AND STRUCTURES; 8 5 ALGORITHMIC ASPECTS AND SUPERCOMPUTING TRENDS IN COMPUTATIONAL ELECTROMAGNETICS; 9 6 ADAPTIVE FINITE ELEMENT METHODS FOR THE HELMHOLTZ EQUATION IN EXTERIOR DOMAINS; 10 7 MODELING OF OPTICALLY; 11 8 SYNTHESIS AND ANALYSIS OF LARGE-SCALE INTEGRATED PHOTONIC DEVICES AND CICUITS; 12 9 DESIGN AND ANALYSIS OF FINITE ELEMENT METHODS FOR TRANSIENT AND TIME-HARMONIC STRUCTURAL ACOUSTICS; 13 10 AN OVERVIEW OF THE APPLICATION OF THE METHOD OF MOMENTS TO LARGE BODIES IN ELECTROMAGNETICS; 14 11 DISCUSSION; 15 APPENDICES; 16 A SYMPOSIUM AGENDA; 17 B SPEAKERS; 18 C SYMPOSIUM PARTICIPANTS
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