31,361 research outputs found
A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case
No full textWe present a general framework for constructing and analyzing finite volume methods applied to the mixed formulation of second-order elliptic problems on quadrilateral grids. The control volumes, or covolumes, in the grids overlap. An overlapping finite volume method of this type was first introduced by Russell in [T. F. Russell, Tech. report 3, Reservoir Simulation Research Corp., Tulsa, OK, 1995] and was tested for a variety of problems on rectangular and quadrilateral grids in [Z. Cai et al., Comput Geosci., 1 (1997), pp. 289-315]. Later in [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 37 (2000), pp. 758-771], Chou and Kwak reformulated it as their mixed covolume method and proved optimal order error estimates using the covolume methodology from [S. H. Chou, Math. Comp., 66 (1997), pp. 85-104] and [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 35 (1998), pp. 494-507]. However, their treatment was restricted to the case of diagonal coefficient tensor and rectangular grids since a different approach was needed for the quadrilateral (distorted rectangular) case. In this paper we give a new framework, which can handle not only the rectangular anisotropic case but also the anisotropic and irregular grid cases in which the locally supported test functions are images of the natural unit coordinate vectors under the Piola transformation. Our theory sheds light on how to create new test functions using quadratures and now covers Russell's quadrilateral case
On the Modal Testing of Microstructures: Its Theoretical Approach and Experimental Setup
No full text
Allochotes piceus Murakami, Yamasako, Chou & Yang, 2013, sp. n.
No full textAllochotes piceus sp. n. (Figs 1 D– 1 F, 4 H– 4 N, 6 C– 6 D, 7 C– 7 D) Type series. Holotype: ♂ (TARI), “[Taiwan] Dahanshan (Mt.)/ Chunri Township/ Pingtung County/ 8. VII. 2012 / H. Murakami leg.” [locality name also written by Chinese character]. Paratypes: [Taoyuan] 1 ♂ (CCCT), Mt. Lala-shan, Fusing Township, 19. VIII. 1999, W-I. Chou leg. [Hsinchu] 1 ♂ (EUMJ), Jianshi Township, 14. VII. 2012, H. Murakami leg. [Yilan] 2 ♂♂ (CCCT), Siyuan Pass, Nanshan Village, Datong Township, 16. VIII. 1999, W-I. Chou leg. [Nantou] 1 ♀ (CKSJ), Nanshanshi, Renai Township, 9. V. 1977, W. Suzuki leg.; 1 ♀ (TARI), Meifeng, Alt. ca. 2,150m, Renai Township, 24–26. VI. 1981, K-S. Lin & W-S. Tang leg.; 1 ♂ (CKSJ), Nanshanshi, Renai Township, 14. IV. 1985, Y. Kusakabe leg. [Hualien] 1 ♀ (EUMJ), Karenko (= Hualien City), 20. VII.– 24. VIII. 1919, T. Okuni leg. [Kaohsiung] 1 ♂ 1 ♀ (CKSJ), Mt. Nanfeng-shan, Taoyuan Township, 28. IV. 1981, S. Fukuda leg.; 1 ♂ (CCCT), Mt. Shinan-shan, Alt. ca. 1,600m, Taoyuan Township, 27. IV. 1997, W-I. Chou leg.; 1 ♀ (TARI), Tengjhih, Taoyuan Township, 2–3. VI. 2008, C-F. Lee leg. [Taitung] 1 ♀ (CCCT), Lijia Forest Road, Beinan Township, 1. VII. 2008, C-C. Chen leg.; 1 ♀ (CCCT), same locality, 1. VII. 2009, C-C. Chen leg.; 2 ♀♀ (CCCT), Yenping Forest Road, Alt. ca. 1,500m, Yenping Township, 27. VI. 2010, W-I. Chou leg.; 1 ♂ 2 ♀♀ (CCCT), same locality, 16. VII. 2010, W-I. Chou leg.; 1 ♂ 1 ♀ (IZAS), Lijia Forest Road, Alt. ca. 1,250m, Beinan Township, 26. VI. 2010, W-I. Chou leg. [Pingtung] 1 ♂ (CCCT), same locality as holotype, Alt. ca. 1,100m, 21. V. 2009, W-I. Chou leg.; 1 ♂ (CCCT), same locality, Alt. ca. 1,200m, 21. VII. 2009, W-I. Chou leg.; 1 ♂ (IZAS), same locality, 6. V. 2010, W-I. Chou leg.; 3 ♀♀ (CCCT), same locality, Alt. ca. 1,300m, 6. V. 2010, W- I. Chou leg.; 1 ♂ (CCCT), same locality, Alt. ca. 600–1,200m, 7. V. 2010, W-I. Chou leg.; 1 ♂ (CCCT), Mt. Peidawu-shan, Alt. ca. 1,100m, Taiwu Township, 27. V. 2010, W-I. Chou leg.; 1 ♀ (IZAS), same locality as holotype, 5. VIII. 2010, W-I. Chou leg.; 1 ♂ (CCCT), same locality, 27. VIII. 2010, C-C. Chen leg.; 1 ♀ (CCCT), same locality, 12. VIII. 2011, C-C. Chen leg.; 1 ♂ 2 ♀♀ (CWCT), same data as holotype, W-I. Chou leg.; 1 ♂, 3 ♀♀ (EUMJ), same data as holotype; 1 ex (TARI), same locality as holotype, 11. VII. 2012, Y-T. Chung leg.; 1 ♂ 1 ♀ (EUMJ), same locality as holotype, 13. VII. 2012, H. Murakami leg.; 3 ♂♂ 1 ♀ (EUMJ), same locality as holotype, 2. VI. 2013, H. Murakami leg. Type locality. Mt. Dahan-shan, Chunrih Township, Pingtung County, Taiwan. Diagnosis. This species is easily distinguishable from the other Taiwanese congeners by having piceous elytra. The species is very similar to A. sauteri, but differs in the following characteristics: posterior margin of pygidium and 8 th sternite emarginate at middle; spicular apodeme connected with spicular plates; phallobasic apodeme weakly dilated apically and incised at the apex; ventral phallobasic plates well sclerotized. Description. Male (n = 11, Figs 1 D– 1 F): Head, antennomeres, pronotum, legs and abdomen yellowish orange; apical parts of mandibles black. Elytra metallic piceus. Head clothed with yellowish suberect setae on the area from frons to vertex and brownish setae on occiput; pronotal disk with yellowish and brownish suberect setae; elytra clothed with black suberect setae, mingled with yellowish setae near humeri; abdomen sparsely set with yellow suberect setae. Maxillary palpi with the last segment short, nearly triangular, obliquely truncate at apex. Antennomeres 4 to 8 weakly serrate, gradually becoming shorter apically; 9 th and 10 th serrate, as wide as long. Pronotum 1.3–1.5 (1.4) times as wide as long. Elytra oblong, weakly convex dorsally, 1.1–1.5 (1.4) times as long as wide, widest near middle, sparsely set with setigerous punctures throughout. Pygidium (Fig. 4 H) with posterior margin emarginate at middle. Eighth sternite (Fig. 4 I) semicircular; posterior margin faintly emarginate. Spicular fork (Fig. 4 J) with elongate intraspicular plate; spicular lobes weakly colored and almost membranous; spicular apodeme 1 / 2 as long as the total length of spicular fork. Aedeagus in fully inflated condition (Figs 6 C– 6 D) orthogonally curved ventrally at the base of CM in lateral view; CM cylindrically swollen, slightly dilated basally, thence constricted at base; phallus cylindrically swollen. Tegmen (Figs 4 K– 4 L) with phallobase oblong, nearly half length of tegmen, roundly pointed at apex; phallobasic apodeme in ventral view elongate, slightly dilated apically from apical 1 / 3 and incised at apex, almost straight in lateral view; ventral phallobasic plates well sclerotized; phallobasic struts divaricated from apical 1 / 3. Phallus (Figs 4 M– 4 N) longer than tegmen, slightly sinuous in lateral view; phallic plates uncinate at apex, densely with bi- or tridentate denticles from apical 1 / 4 to subapices of ventral margins. Female (n = 9): Similar to male, but the apical margin of 7 th sternite slightly and triangularly incised at middle. Pygidium with posterior margins (Fig. 7 C) roundly projected posteriorly; pygidial struts elongate. Eighth sternite (Fig. 7 D) with apical margin roundly projected posteriorly. Pronotum 1.3–1.6 (1.4) times as wide as long. Elytra 1.3–1.5 (1.4) times as long as wide. Measurements. Male (n = 11): BL 6.3–8.4 (7.2) mm, PL 1.4 –2.0 (1.7) mm, PW 2.0– 2.7 (2.3) mm, EW 3.2– 4.1 (3.6) mm, EL 4.2–5.9 (4.9) mm. Female (n = 9): BL 6.5–8.2 (7.5) mm, PL 1.5 –2.0 (1.8) mm, PW 2.1–2.7 (2.5) mm, EW 3.0– 4.1 (3.7) mm, EL 4.4–5.5 (5.0) mm. Etymology. The specific name is derived from the piceous elytra. Distribution. Taiwan (Taoyuan, Hsinchu, Yilan, Nantou, Hualien, Kaohsiung, Taitung, Pingtung).Published as part of Murakami, Hiroyuki, Yamasako, Junsuke, Chou, Wen-I & Yang, Ganyan, 2013, Review of the genus Allochotes (Coleoptera: Cleridae: Neorthopleurinae) from Taiwan, pp. 565-577 in Zootaxa 3710 (6) on pages 568-569, DOI: 10.11646/zootaxa.3710.6.3, http://zenodo.org/record/21692
The QCD sum rule approach for the semileptonic decay of the D or B meson into a light meson and leptons
No full textA General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
Full text linkWe present a general framework for constructing and analyzing finite volume methods applied to the mixed formulation of second-order elliptic problems on quadrilateral grids. The control volumes, or covolumes, in the grids overlap. An overlapping finite volume method of this type was first introduced by Russell in [T. F. Russell, Tech. report 3, Reservoir Simulation Research Corp., Tulsa, OK, 1995] and was tested for a variety of problems on rectangular and quadrilateral grids in [Z. Cai et al., Comput Geosci., 1 (1997), pp. 289–315]. Later in [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 37 (2000), pp. 758–771], Chou and Kwak reformulated it as their mixed covolume method and proved optimal order error estimates using the covolume methodology from [S. H. Chou, Math. Comp., 66 (1997), pp. 85–104] and [S. H. Chou and D. Y. Kwak, SIAM J. Numer. Anal., 35 (1998), pp. 494–507]. However, their treatment was restricted to the case of diagonal coefficient tensor and rectangular grids since a different approach was needed for the quadrilateral (distorted rectangular) case. In this paper we give a new framework, which can handle not only the rectangular anisotropic case but also the anisotropic and irregular grid cases in which the locally supported test functions are images of the natural unit coordinate vectors under the Piola transformation. Our theory sheds light on how to create new test functions using quadratures and now covers Russell’s quadrilateral case
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